physics exam 1
14) Vector A is 2.0 i + 3.5 j . Vector B is -3.1 i - 3.1 j . What is A + 2B? a) -4.2 i + -2.7 j b) -1.1 i - 0.4 j c) 5.1 i + 6.6 j d) 8.2 i + 9.7 j
a) -4.2 i + -2.7 j
An object moves 10.0 m east in 10.0 s and then returns to its starting point taking an additional 40.0 s. If west is chosen as the positive direction, what is the average speed of the object? a) 0.4 m/s b) -0.4 m/s c) 10.0 m/s d) 0 m/s e) -10.0
a) 0.4 m/s
A 50.0-g ball traveling at 22.0 m/s is bounced off a brick wall and rebounds at 21.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 2.50 ms, what is the average acceleration of the ball during this time interval? a) 1.72E+4 m/s^2 b) 3.44E+4 m/s^2 c) 8.60E+3 m/s^2 d) 1.72E+1 m/s^2 e) 4.30E+1 m/s^2
a) 1.72E+4 m/s^2
7) A physics class in a large lecture hall has 150 students. The total mass of the students is about ____ kg. a) 10^4 b) 10^5 c) 10^6 d) 10^7 e) 10^8
a) 10^4
8) A physics class in a large lecture hall has 150 students. The total mass of the students is about ____ kg. a) 10^4 b) 10^5 c) 10^6 d) 10^7 e) 10^8
a) 10^4
31) The number 0.03 has how many significant figures? a) 2 b) 3 c) 5 d) 6 e) 7
a) 2
4) Sphere A has a radius of 5.00 cm, and sphere B has a radius of 8.80 cm. What is the difference in volume between the two spheres? a) 2 330 cm3 b) 556 cm3 c) 6 990 cm3 d) 165 cm3
a) 2 330 cm3
43) Which one of the choices below represents the preferred practice regarding significant figures when multiplying the following: 15.0 × 5.6 × 2.33? a) 200 b) 195.720 c) 195.72 d) 195.7 e) 196
a) 200
Gwen releases a rock at rest from the top of a 40-m tower. If g = 9.8 m/s2 and air resistance is negligible, what is the speed of the rock as it hits the ground? a) 28 m/s b) 14 m/s c) 20 m/s d) 40 m/s e) 780 m/s
a) 28 m/s
40) Calculate (0.83 + 0.049)(4.4 × 10^3), keeping only significant figures. a) 3 900 b) 3 868 c) 3 886 d) 3 644 e) 4 000
a) 3 900
50) A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A race horse is running at a speed of 6.00 yards per second. What is his speed in furlongs per fortnight? a) 3.30E+4 furlongs/fortnight b) 4.71E+3 furlongs/fortnight c) 3.31E+4 furlongs/fortnight d) 3.33E+4 furlongs/fortnight e) 3.28E+4 furlongs/fortnight
a) 3.30E+4 furlongs/fortnight
b) 1.80 s ***WRONG***A rock is thrown straight up with an initial velocity of 17.6 m/s. What time interval elapses between the rock's being thrown and its return to the original launch point? (Acceleration due to gravity is 9.80 m/s2.) a) 3.60 s b) 1.80 s c) 2.70 s d) 3.06 s e) 3.96 s
a) 3.60 s?
3) The information on a one-gallon paint can is that the coverage, when properly applied, is 440 ft^2. One gallon is 231 in^3. What is the average thickness of the paint in such an application? a) 3.6E-3 in b) 5.3E-1 in c) 4.4E-2 in d) 1.3E-2 in e) 1.6E-1 in
a) 3.6E-3 in
10) A city uses 6.8 × 109 gallons of water every day. How many gallons per minute must be pumped from the reservoir to meet the city's water needs? a) 4.7E+6 b) 7.9E+4 c) 2.8E+8 d) 6.8E+9
a) 4.7E+6
40) A city uses 6.8 × 10^9 gallons of water every day. How many gallons per minute must be pumped from the reservoir to meet the city's water needs? a) 4.7E+6 b) 7.9E+4 c) 2.8E+8 d) 6.8E+9
a) 4.7E+6
3) A mosquito flies diagonally from a corner at the floor of a rectangular room, with coordinates (0, 0, 0) to the opposite corner at the ceiling, with coordinates (5.5, 3.75, h) m at a rate of 0.8 m/s. If it takes the mosquito 11 seconds to make the direct flight, what is h? a) 5.8 m b) 6.7 m c) 8.5 m d) 8.3 m
a) 5.8 m
46) A train slowly climbs a 400-m mountain track which is at an angle of 8.0° with respect to the horizontal. How much altitude does it gain? a) 55.7 m b) 200 m c) 60.7 m d) 396 m e) 400 m
a) 55.7 m
24) A cereal box has the dimensions of 0.14 m × 0.22 m × 0.070 m. If there are 3.28 feet per meter, then what is the volume of the box in cubic feet? a) 7.6E-2 cubic feet b) 2.3E-2 cubic feet c) 2.7E-1 cubic feet d) 3.9E-3 cubic feet e) 1.3E-2 cubic feet
a) 7.6E-2 cubic feet
8) On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have determined that one liter = 39.0 guppies. How many guppies are in 230 liters? a) 8 970 guppies b) 9 010 guppies c) 8 740 guppies d) 9 200 guppies e) 8 930 guppies
a) 8 970 guppies
A cheetah can run at approximately 100 km/h and a gazelle at 80.0 km/h. If both animals are running at full speed, with the gazelle 50.0 m ahead, how long before the cheetah catches its prey? a) 9.0 s b) 14 s c) 18 s d) 4.5 s e) 21 s
a) 9.0 s
30) Which of the following is not a vector quantity? a) mass b) acceleration c) displacement d) velocity
a) mass
2) Vector A is 5 m long and vector B is 12 m long. The length of the sum of the vectors must be: a) some value from 7 m to 17 m. b) 13 m. c) 17 m. d) 8 m.
a) some value from 7 m to 17 m.
41) Which expression is dimensionally consistent with an expression that would yield a value for time−1? (v is velocity, x is distance, and t is time) a) v/x b) v^2/x c) x/t d) v^2t
a) v/x
Displacement is which of the following types of quantities? a) vector b) scalar c) magnitude d) dimensional
a) vector
10) Which of the following is an example of a vector quantity? a) velocity b) temperature c) volume d) mass
a) velocity
1) For which of the values below is x > x^7? a) x = -2.0 b) x = 0 c) x = 1.0 d) x = 2.0 e) x = 4.0
a) x = -2.0
48) Terrence goes for a walk. He walks 2.0 km north, then turns and walks 4.0 km south of east. What is his displacement vector? Take east to be in the + i -direction and north to be in the + j -direction. a) (2.0 i + 4.0 j ) km b) (2.8 i - 0.8 j ) km c) (4.8 i + 5.7 j ) km d) (5.7 i - 2.8 j ) km
b) (2.8 i - 0.8 j ) km
23) Assume everyone in the United States consumes one soft drink in an aluminum can every two days. If there are 270 million Americans, about how many tons of aluminum need to be recycled each year if each can weighs 1/15 pound and one ton = 2 000 pounds? a) 450 000 tons b) 1.6 million tons c) 3.3 million tons d) 0.82 million tons e) 410 000 tons
b) 1.6 million tons
A baseball is released at rest from the top of the Washington Monument. It hits the ground after falling for 5.85 s. What was the height from which the ball was dropped? (g = 9.80 m/s2 and assume air resistance is negligible) a) 1.88 × 10^2 m b) 1.68 × 10^2 m c) 1.38 × 10^2 m d) 3.36 × 10^2 m
b) 1.68 × 10^2 m
29) What is the distance between the two polar coordinates (2.0, 30°) and (9.0, 145°)? a) 6.0 b) 10.0 c) 9.8 d) 9.2
b) 10.0
38) If point A is located at coordinates (-10, 7) and point B is located at coordinates (8, -8), what is the distance from A to B if the units of the coordinated system are meters? a) 549 m b) 23 m c) 28 m d) 33 m e) 26 m
b) 23 m
Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit. If you are measuring an object with length between 6 and 7 cm, how many significant figures will result if you only use the part of the meter stick between the 1-cm and 9-cm positions? a) 2 b) 3 c) 4 d) 5 e) more than 5
b) 3
36) A room in a house has a floor area of 110 ft^2. Which of the following is most likely the approximate volume of the room? a) 3 m^3 b) 30 m^3 c) 300 m^3 d) 3 000 m^3 e) 10 m^3
b) 30 m^3
25) When NASA was communicating with astronauts on the Moon, the time from sending on the Earth to receiving on the Moon was 1.28 s. Find the distance from Earth to the Moon. (The speed of radio waves is 3.00 × 108 m/s.) a) 240 000 km b) 384 000 km c) 480 000 km d) 768 000 km
b) 384 000 km
38) I walk six miles in a straight line in a direction north of east, and I end up four miles north and several miles east. How many degrees north of east have I walked? a) 19° b) 42° c) 60° d) 71°
b) 42°
35) On planet Z, the standard unit of length is the foose. Ann the Astronaut is 5.2 feet tall on Earth. She lands on planet Z and is measured to be 88 foosi tall. Her partner Rachael is 92 foosi tall. How tall is Rachael on Earth? a) 5.9 feet b) 5.4 feet c) 5.2 feet d) 5.1 feet e) 5.6 feet
b) 5.4 feet
4) Two ships set sail from the same port. Ship A sails a distance of 35.0 kilometers in a direction 30.0° north of east, and drops anchor. Ship B sails due south. When ship B is 30.0 km from the port, how far apart are the ships? a) 46.1 km b) 56.3 km c) 65.0 km d) 75.9 km
b) 56.3 km
34) Find the sum of the following two vectors: (i) 50 units due east and (ii) 100 units 30° south of west. a) 100 units 30° south of west b) 62 units 54° south of west c) 87 units 60° south of west d) 62 units 15° south of west
b) 62 units 54° south of west
42) Water flows into a swimming pool at the rate of 7.0 gal/min. The pool is 17 ft wide, 32 ft long and 7.0 ft deep. How long does it take to fill? (1 U.S. gallon = 231 cubic inches) a) 34 hours b) 68 hours c) 67 hours d) 136 hours e) 680 hours
b) 68 hours
30) A triangle has sides of length 7 cm and 11 cm. If the triangle is a right triangle, which of the following could be the length of the third side, to the nearest centimeter? a) 11 cm b) 8 cm c) 16 cm d) 17 cm e)n7 cm
b) 8 cm
22) A taxicab moves five blocks due north, five blocks due east, and another three blocks due north. Assume all blocks are of equal size. How far is the taxi from its starting point? a) 13 blocks b) 9.4 blocks c) 9.2 blocks d) 8.6 blocks
b) 9.4 blocks
Two objects of different mass are released simultaneously from the top of a 20-m tower and fall to the ground. If air resistance is negligible, which statement best applies? a) The greater mass hits the ground first. b) Both objects hit the ground together. c) The smaller mass hits the ground first. d) No conclusion can be made with the information given.
b) Both objects hit the ground together.
14) Consider the cosine of any angle between 35° and 40°. If the angle were doubled, what would happen to the cosine of the angle. a) It would halve. b) It would decrease to less than half its original value. c) It would decrease but be more than half its original value. d) In different cases, it could do any of the above.
b) It would decrease to less than half its original value.
44) Areas always have dimensions ____ while volumes always have dimensions ____. a) m^2, m^3 b) L^2, L^3 c) Both a and b are correct. d) No answer is correct because of the "always."
b) L^2, L^3
13) How long has it been that scientists have accepted that the nucleus of the atom consists of neutrons and protons? Think of your answers in terms of order of magnitude. a) about a decade b) about a century c) about a thousand years d) since Aristotle
b) about a century
10) Which is smallest, an atom, a nucleus, a proton, or an electron? a) atom b) electron c) nucleus d) proton
b) electron
6) Vector A points north, and vector B points east. If C = B − A, then vector C points a) north of east. b) south of east. c) north of west. d) south of west.
b) south of east.
6) Vector a points north, and vector b points east. If c = b − a, then vector points a) north of east. b) south of east. c) north of west. d) south of west.
b) south of east.
9) Which type of quantity is characterized by both magnitude and direction? a) scalar b) vector c) trigonometric d) algebraic variable
b) vector
34) In 1983 the standard meter was redefined to what it is currently. What was the previous definition from 1960 based on? a) specific alloy bar housed at Sevres, France b) wavelength of light emitted by certain krypton atoms c) distance from the Earth's equator to the North Pole d) the distance light travels in a certain fraction of a second
b) wavelength of light emitted by certain krypton atoms
Consider the magnitude of the average speed, vavg, speed, mag, and the magnitude of the average velocity, vavg, velocity, mag, for the same trip. Which of the following is always true? a) vavg, speed, mag = vavg, velocity, mag b) vavg, speed, mag ≥ vavg, velocity, mag c) vavg, speed, mag ≤ vavg, velocity, mag d) none of the above
b) vavg, speed, mag ≥ vavg, velocity, mag
16) A marble has a radius of 16 mm. Approximately how many marbles will fit in a cube-shaped container with each side equal to 36 cm? a) 20 b) 510 c) 1 420 d) 80
c) 1 420
46) The prefixes which are abbreviated f, d, and T represent which of the following? a) 10^-30, 10^-2, and 10^24 b) 10^-15, 10^2, and 10^24 c) 10^-15, 10^-1, and 10^12 d) 10^-13, 10^2, and 10^24 e) 10^-30, 10^-1, and 10^-2
c) 10^-15, 10^-1, and 10^12
12) An apartment has 1 100 ft^2 of floor space. What is the approximate volume of the apartment? a) 10^2 ft^3 b) 10^3 ft^3 c) 10^4 ft^3 d) 10^5 ft^3 e) 10^6 ft^3
c) 10^4 ft^3
27) Vector A is 3.00 units in length and points along the positive x axis; vector B is 5.00 units in length and points along a direction 150° from the positive x axis. What is the direction of their sum with respect to the positive x axis? a) 62.0° b) 13.0° c) 118° d) 103°
c) 118°
An object moves at a constant velocity of 12 m/s to the southwest for an interval of 20 s. Halfway through this interval, what is the magnitude of its instantaneous velocity? a) It can be any value from 0 to 24 m/s. b) 6 m/s c) 12 m/s d) More information is needed.
c) 12 m/s
19) When three vectors are added graphically and form a closed triangle, the largest enclosed angle between any two of the vectors cannot be greater than a) 60°. b) 90°. c) 180°. d) No maximum exists.
c) 180°.
28) Multiplying a 2-significant-figure number by a 4-significant-figure number and then dividing the product by a seven-significant-figure number yields a number with how many significant figures? a) 6/7 b) 1 c) 2 d) 13 e) 8/7
c) 2
47) A student adds two vectors with magnitudes of 200 and 70. Which one of the following is the only possible choice for the magnitude of their sum? a) 100 b) 280 c) 200 d) 70
c) 200
44) Amir drives his ATV from coordinates (5.0 km, 25°) directly to (25.0 km, 45°) in 45 minutes. What is the ATV's speed? a) 0.5 km/h b) 20.4 km/h c) 27.2 km/h d) 34.0 km/h
c) 27.2 km/h
37) A surveyor stands 100 m from the base of a building, and uses a transit to determine that the angle of elevation to the building's roof is 19.0°. If the transit height is 0.80 m, what is the height of the building? a) 94.6 m b) 95.4 m c) 35.2 m d) 34.4 m
c) 35.2 m
16) d) 4 ***WRONG***Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit. If you are measuring an object with length between 8 and 9 cm, how many significant figures will result if you only use the part of the meter stick between the 82-cm and 93-cm positions? a) 0 b) 2 c) 3 d) 4 e) more than 4
c) 3?
6) A circle has an area of 3.0 m^2. A second circle has double the radius of the first. The area of the second circle is ____ times that of the first. a) 0.8 b) 2.0 c) 4.0 d) 6.0
c) 4.0
9) The mass of a star is 8.0 × 10^30 kg, and the mass of a hydrogen atom is 1.67 × 10^−27 kg. If we assume that the star is mostly composed of hydrogen, approximately how many atoms are there in the star? a) 1.3E+4 atoms b) 2.1E-58 atoms c) 4.8E+57 atoms d) 8.0E+30 atoms
c) 4.8E+57 atoms
37) The distance to a hypothetical galaxy is estimated at about 7 × 10^6 light years. A light year is the distance traveled by light in one year; if the speed of light is 3 × 10^8 m/s, about how far is it from our galaxy to this hypothetical galaxy? (1 year = 3.15 × 10^7 s) a) 7E+21 m b) 1E+9 m c) 7E+22 m d) 7E+5 m
c) 7E+22 m
33) Doubling the radius of a sphere results in increasing its volume by a factor of a) 2. b) 4. c) 8. d) 8π.
c) 8.
A ball rolls down an incline, starting from rest. If the total time it takes to reach the end of the incline is T, how much time has elapsed when it is halfway down the incline? a) 0.5 T b) < 0.5 T c) > 0.5 T d) More information is needed.
c) > 0.5 T
27) Consider the sine of any angle between 30° and 40°. If the angle were doubled, what would happen to the sine of the angle? a) It would double. b) It would more than double. c) It would increase but be less than double. d) In different cases, it could do any of the above.
c) It would increase but be less than double.
32) Suppose an equation relating position, x, to time, t, is given by x = bt^3 + ct^4, where b and c are constants. The dimensions of b and c are respectively: a) T^3, T^4. b) 1/T^3, 1/T^4. c) L/T^3, L/T^4. d) L^2⋅T^3, L^2⋅T^4.
c) L/T^3, L/T^4.
39) Suppose the interior angles of a triangle are φ1, φ2, and φ3, with φ1 > φ2 > φ3. Which side of the triangle is the shortest? a) The side opposite φ1. b) The side opposite φ2. c) The side opposite φ3. d) More information is needed unless the triangle is a right triangle.
c) The side opposite φ3.
2) Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units long and is at 225°. Which vector has equal-magnitude components? a) Vector 1 b) Vector 2 c) Vector 3 d) None of the vectors has equal-magnitude components
c) Vector 3
17) When we add a displacement vector to another displacement vector, the result is a) a velocity. b) an acceleration. c) another displacement. d) a scalar.
c) another displacement.
42) Volume can be measured in units of m^3. Which of the following unit combinations also result in volume? a) ft^2/m b) cm·ft c) cm^2in. d) m^2·cm·ft
c) cm^2in.
45) In mechanics, physicists use three basic quantities to derive additional quantities. Mass is one of the three quantities. What are the other two? a) length and force b) power and force c) length and time d) force and time
c) length and time
3) The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the units would be: a) m b) s c) m/s d) kg/s
c) m/s
18) The speed of a boat is often given in knots. If a speed of 5 knots were expressed in the SI system of units, the units would be: a) m. b) s. c) m/s. d) kg/s.
c) m/s.
Changing the positive direction in a reference frame to the opposite direction does not change the sign of which of the following quantities? a) velocity b) average velocity c) speed d) displacement
c) speed
19) If a is acceleration, v is velocity, x is position, and t is time, then which equation is not dimensionally correct? a) t = x/v b) a = v^2/x c) v = a/t d) t^2 = 2x/a
c) v = a/t
11) An airplane takes off due west at an angle of 16.0° with the horizontal. When the airplane is at a vertical height of 400 ft, what is its displacement vector? Let east be the +x direction and +z be upwards. a) (385 i + 400 j) ft b) (-110 i - 400 j) ft c) (717 i - 400 j) ft d) (-1 390 i + 400 j) ft
d) (-1 390 i + 400 j) ft
When a drag strip vehicle reaches a velocity of 65.0 m/s, it begins a negative acceleration by releasing a drag chute and applying its brakes. While reducing its velocity back to zero, its acceleration along a straight-line path is a constant −7.10 m/s2. What displacement does it undergo during this deceleration period? a) 595 m b) 4.58 m c) 2 110 m d) 298 m e) 9.15 m
d) 298 m
11) Assume when using a meter stick measuring can be done so that the last significant figure is in the tenth of a millimeter digit. If you are measuring an object with length between 25 and 53 cm, how many significant figures will result if you only use the part of the meter stick between the 3-cm and 85-cm positions? a) 1 b) 2 c) 3 d) 4 e) more than 4
d) 4
26) A high fountain of water is in the center of a circular pool of water. You walk the circumference of the pool and measure it to be 190 meters. You then stand at the edge of the pool and use a protractor to gauge the angle of elevation of the top of the fountain. It is 55°. How high is the fountain? a) 25 m b) 53 m c) 86 m d) 43 m e) 48 m
d) 43 m
20) Two wires support a post, with dimensions as shown in the figure. If d = 14 m, what is the value of x? a) 7.5 m b) 6.5 m c) 18.3 m d) 5.2 m
d) 5.2 m
2) The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion. Assume that 30.0 cm3 of gasoline is atomized into N spherical droplets. Each droplet has a radius of 1.0 × 10−5 m. Find the total surface area of these N spherical droplets. a) 3.0E+4 cm2 b) 1.2E+5 cm2 c) 1.8E+5 cm2 d) 9.0E+4 cm2 e) 1.1E+5 cm2
d) 9.0E+4 cm2
17) The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion. Assume that 30.0 cm^3 of gasoline is atomized into N spherical droplets. Each droplet has a radius of 1.0 × 10^−5 m. Find the total surface area of these N spherical droplets. a) 3.0E+4 cm^2 b) 1.2E+5 cm^2 c) 1.8E+5 cm^2 d) 9.0E+4 cm^2 e) 1.1E+5 cm^2
d) 9.0E+4 cm^2
15) Note the expression: y = x^2. Which statement is most consistent with this expression? a) If y doubles, then x quadruples. b) y is greater than x. c) If x doubles, then y doubles. d) If x doubles, then y quadruples.
d) If x doubles, then y quadruples.
39) Of vectors with lengths 5 m, 3 m, and 4 m, which has the greatest magnitude x component? a) the one with length 5 m b) the one with length 3 m c) the one with length 4 m d) It could be any of the three
d) It could be any of the three
An object is dropped from a height. Once it is moving, which of the following statements is true, at least at one point? a) Its velocity is more than its acceleration. b) Its velocity is less than its acceleration. c) Its velocity is the same as its acceleration. d) Its velocity is never equal to its acceleration
d) Its velocity is never equal to its acceleration
31) Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration, x is distance, and t is time) a) v/t^2 b) vx^2 c) v^2/t d) at
d) at
5) The nuclei of atoms contain a) electrons only. b) neutrons only. c) protons and electrons. d) protons and neutrons.
d) protons and neutrons.
1) Vector A is 2 m long, and vector B is 5 m long. The length of the sum of the vectors must be a) 6 m. b) 7 m. c) 13 m. d) some value from 3 m to 7 m. e) 3 m.
d) some value from 3 m to 7 m.
22) Vector A is 2 m long, and vector B is 5 m long. The length of the sum of the vectors must be a) 6 m. b) 7 m. c) 13 m. d) some value from 3 m to 7 m. e) 3 m.
d) some value from 3 m to 7 m.
1) Since 1983 the standard meter has been defined in terms of which of the following? a) specific alloy bar housed at Sevres, France b) wavelength of light emitted by krypton-86 c) distance from the Earth's equator to the North Pole d) the distance light travels in a certain fraction of a second e) None of the above
d) the distance light travels in a certain fraction of a second
7) Since 1983 the standard meter has been defined in terms of which of the following? a) specific alloy bar housed at Sevres, France b) wavelength of light emitted by krypton-86 c) distance from the Earth's equator to the North Pole d) the distance light travels in a certain fraction of a second e) None of the above
d) the distance light travels in a certain fraction of a second
21) Which one of the choices below represents the preferred practice regarding significant figures when adding the following: 15.9 + 14 + 77.68 + 6.898? a) 114.4780 b) 114.478 c) 114.48 d) 114.5 e) 114
e) 114
Human reaction time is usually about 0.18 s. If your lab partner holds a ruler between your finger and thumb and releases it without warning, how far can you expect the ruler to fall before you catch it? The nearest value is a) 32 cm. b) 88 cm. c) 1.6 cm. d) 180 cm. e) 16 cm.
e) 16 cm.
An object moves along the x axis, with its position given by the function x(t) = ½ t3. Which of the following can be obtained from a graph of x vs. t? a) The velocity of the object at any instant in time b) The displacement of the object during a specified time interval c) The speed of the particle at any instant in time d) The average velocity of the object during as specified time interval e) All of the above
e) All of the above
33) Which point is nearest the x-axis? a) (1, 7) b) (-3, -6) c) (-7, 5) d) (-6, -4) e) (2, 3)
e) (2, 3)
49) Each edge of a cube has a length of 12.7 cm. What is the length of a diagonal of the cube going through the center of the cube? a) 24.0 in. b) 22.0 in. c) 25.5 in. d) 20.5 in. e) 8.7 in.
e) 8.7 in.