Chapter 1: Measurement
The vector − A is:
in the direction opposite to A
the SI base unit for mass is:
kilograms
During a short interval of time the speed v in m/s of an automobile is given by v = at2 + bt3, where the time t is in seconds. The units of a and b are respectively:
m/s 3 ; m/s 4
A vector S of magnitude 6 and another vector T have a sum of magnitude 12. The vector T:
must have a magnitude of at least 6 but no more than 18
A baseball is hit straight up and is caught by the catcher 2.0 s later. The maximum height of the ball during this interval is:
4.9m
A projectile is shot vertically upward with a given initial velocity. It reaches a maximum height of 100 m. If, on a second shot, the initial velocity is doubled then the projectile will reach a maximum height of:
400 m
which of the following weighs about a pound
50kg
5.0 × 105 + 3.0 × 106 =
3.5 × 10^6
f the x component of a vector A, in the xy plane, is half as large as the magnitude of the vector, the tangent of the angle between the vector and the x axis is:
3/2
A car starts from Hither, goes 50 km in a straight line to Yon, immediately turns around, and returns to Hither. The time for this round trip is 2 hours. The average speed of the car for this round trip is:
50 km/h
A car travels 40 kilometers at an average speed of 80km/h and then travels 40 kilometers at an average speed of 40km/h. The average speed of the car for this 80-km trip is:
53km/h
Neglecting the effect of air resistance a stone dropped off a 175-m high building lands on the ground in:
6 s
Throughout a time interval, while the speed of a particle increases as it moves along the x axis, its velocity and acceleration might be:
negative and negative, respectively
Which of the following five acceleration versus time graphs is correct for an object moving in a straight line at a constant velocity of 20 m/s?
no curve straight line on E
Which of the following five coordinate versus time graphs represents the motion of an object moving with a constant nonzero speed?
x t downward slope
A particle moves along the x axis from xi to xf. Of the following values of the initial and final coordinates, which results in a negative displacement?
xi = −4m,xf = −8m
A particle moves along the x axis from xi to xf. Of the following values of the initial and final coordinates, which results in the displacement with the largest magnitude?
xi = −4m,xf =4m
An object dropped from the window of a tall building hits the ground in 12.0 s. If its acceleration is 9.80 m/s^2, the height of the window above the ground is:
706 m
3.2 × 2.7 =
8.6
One object is thrown vertically upward with an initial velocity of 100 m/s and another object with an initial velocity of 10 m/s. The maximum height reached by the first object will be that of the other.
100 times
A gram is
10^-3kg
A nano second is:
10^-9
A square with an edge of exactly 1 cm has an area of
10^−4 m2
A cubic box with an edge of exactly 1 cm has a volume of:
10^−6 m3
A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be
12
which of the following is closet to a yard in length
1m
Vectors ->A and B lie in the xy plane. We can deduce that A = B if:
Ax = Bx and Ay = By
The SI standard of time is based on
None of these
Suppose A = BC, where A has the dimension L/M and C has the dimension L/T. Then B has the dimension:
T/M
In 1866, the U.S. Congress defined the U.S. yard as exactly 3600/3937 international meter. This was done primarily because:
The definition relates the common U.S. length units to a more widely used system
The SI standard of length is based on:
The speed of light
There is no SI unit for area because
area can be expressed in terms of square meters
A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt2, where b is a constant. The expression for the distance traveled by this car from its position at t = 0 is:
bt^3/3
The coordinate-time graph of an object is a straight line with a positive slope. The object has
constant velocity
The area under a velocity-time graph represents:
displacement
An object is thrown vertically upward with a certain initial velocity in a world where the acceleration due to gravity is 19.6 m/s2. The height to which it rises is that to which the object would rise if thrown upward with the same initial velocity on the Earth. Neglect friction.
half
Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by: particle 1: x(t)=3 .5−2.7t^3 particle 2: x(t)=3 .5+2 .7t^3 particle 3: x(t)=3 .5+2 .7t^2 particle 4: x(t)=3 .5−3.4t−2.7t^2
only 3 and 4
An object has a constant acceleration of 3 m/s2. The coordinate versus time graph for this object has a slope:
that increases with time
Displacement can be obtained from
the area under a velocity-time graph
The average speed of a moving object during a given interval of time is always:
the distance covered during the time interval divided by the time interval
(5.0 × 104) × (3.0 × 10−6) =
1.5 × 10^−1
(5.0 × 104) × (3.0 × 106) =
1.5(10)^11
1.513 + 27.3 =
28.8
1 m is equivalent to 3.281 ft. A cube with an edge of 1.5 ft has a volume of:
9.6 × 10^−2 m3
if | ->A + ->B| = A + B and neither ->A nor ->B vanish, then:
->A and ->B are parallel and in the same direction
->A and ->B are parallel and in the same
->B + ->D−√2 ->C=0
A car starts from Hither, goes 50 km in a straight line to Yon, immediately turns around, and returns to Hither. The time for this round trip is 2 hours. The magnitude of the average velocity of the car for this round trip is:
0
The velocity of an object is given as a function of time by v =4 t−3t2, where v is in m/s and t is in seconds. Its average velocity over the interval from t = 0 to t = 2s:
0
An object is thrown straight down with an initial speed of 4 m/s from a window which is 8 m above the ground. The time it takes the object to reach the ground is:
0.93 s
The coordinate of a particle in meters is given by x(t) = 16 t −3.0t3, where the time t is inseconds. The particle is momentarily at rest at t =
1.3s
Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60km/h and the other is moving at 40km/h mph. In how many hours will they meet?
1.5
Suppose A = BnCm, where A has dimensions LT, B has dimensions L2T−1, and C has dimensions LT2. Then the exponents n and m have the values:
1/5; 3/5
Suppose A = BnCm, where A has dimensions LT, B has dimensions L2T−1, and C has dimensions LT2. Then the exponents n and m have the values:
1/5; 3/5
A stone is thrown vertically upward with an initial speed of 19.5 m/s. It will rise to a maximum height of:
19.4m
A sphere with a radius of 1.7 cm has a volume of:
2.1 × 10^−5 m3
A sphere with a radius of 1.7 cm has a surface area of:
2.3 × 10^−3 m3
A stone is released from a balloon that is descending at a constant speed of 10 m/s. Neglecting air resistance, after 20 s the speed of the stone is:
206 m/s
1 mi is equivalent to 1609 m so 55 mph is:
25 m/s
The number of significant figures in 0.00150 is:
3
the number of sig figs in 15.0 is
3
(7.0 × 106)/(2.0 × 10−6) =
3.5 × 10^12
A right circular cylinder with a radius of 2.3 cm and a height of 1.4 cm has a total surface area of
5.3 × 10^−3 m2
A stone is released from rest from the edge of a building roof 190 m above the ground. Neglecting air resistance, the speed of the stone, just before striking the ground, is:
61 m/s
An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4m/s^2. Its average velocity as it goes from x = 2m to x = 8m is:
6m/s
Of the following situations, which one is impossible?
A body having constant velocity and variable acceleration
If | A + B|2 = A2 + B2, then:
none of the above is true
A particle moves on the x axis. When its acceleration is positive and increasing:
none of the above must be true
A vector of magnitude 3 CANNOT be added to a vector of magnitude 4 so that the magnitude of the resultant is:
zero
The coordinate of an object is given as a function of time by x =4t^2−3t^3, where x is in meters and t is in seconds. Its average acceleration over the interval from t = 0 to t = 2s is:
−10m/s^2
The coordinate of an object is given as a function of time by x =7 t−3t^2, where x is in meters and t is in seconds. Its average velocity over the interval from t = 0 to t = 4s is:
−5m/s
A vector has a magnitude of 12. When its tail is at the origin it lies between the positive x axis and the negative y axis and makes an angle of 30◦ with the x axis. Its y component is:
−6