PHYS 1101 MCQ & SPS Topic 2
A speeding car traveling at a constant velocity of v passes a police car initially at rest beside the roadway. If the police car with constant acceleration of a immediately pursues the speeding car, how long is it before the police car is directly behind the speeding car?
2v/a
Amanda is standing at the edge of a cliff. She throws a rock vertically upward at speed v0, while at the same time throws a second rock vertically downward at the same speed. How long after the rock thrown downward hits the ground does the rock thrown upwards hit?
2v0/g
A European sports car dealer claims that his car will accelerate at a constant rate from rest to 100 km/h in 8.00 s. If so, what is the acceleration? (Hint: First convert speed to m/s.)
3.47 m/s^2
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.)
3.60 s
A rock is thrown straight up with an initial velocity of 25.0 m/s. What maximum height will the rock reach before starting to fall downward? (Take acceleration due to gravity as 9.80 m/s2.)
31.9 m
A speeding car traveling at a constant velocity of 24 m/s passes a police care initially at rest beside the roadway. If the police car with constant acceleration of 3.0 m/s2 immediately pursues the speeding car, how far down the road does it draw even with the speeding car?
380 m
A rock is thrown straight down with an initial velocity of 14.3 m/s from a cliff. What is the rock's displacement after 2.0 s? (Acceleration due to gravity is 9.80 m/s2.)
48 m
A graph of position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the average velocity in the following time intervals. (a) 0 to 2.00 s, (b) 0 to 4.00 s, (c) 2.00 s to 4.00 s, (d) 4.00 s to 7.00 s and (e) 0 to 8.00 s.
5.00 m/s 1.25 m/s -2.50 m/s -3.33 m/s 0 m/s
A basketball player can jump 1.6 m off the hardwood floor. With what upward velocity did he leave the floor?
5.6 m/s
A cart is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 2.4 m/s2. What is the magnitude of the cart's displacement during the first 5.0 s of its motion?
55 m
A baseball player throws a ball straight up into the air. At a height of 3.00 m above the release point, the ball is moving at 1.25 m/s. What was the ball's initial speed?
7.77 m/s
A railroad train travels forward along a straight track at 90.0 m/s for 1 000 m and then travels at 70.0 m/s for the next 1 000 m. What is the average velocity?
78.8 m/s
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?
9.0 s
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?
>0.5 T
A particle starts from rest and accelerates as shown in the figure. Determine the particle's speed at t = 10.0 s and at t = 20.0 s. Determine the distance traveled in the first 20.0 s. (Enter your answer to one decimal place.)
a) t10 = 20m/s; t20 = 5.00m/s b) 263m
Jeff throws a ball straight up. For which situation is the vertical velocity zero?
at the top
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?
both objects hit the ground together
in the case of constant acceleration, the average velocity equals the instantaneous velocity
half-way through the time interval
the value of an object's acceleration may be characterized in equivalent words by which of the following?
rate of change of velocity
which of the following is not a vector
temperature
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?
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?
1.72E+4 m/s^2
At the top of a cliff 100 m high, Raoul throws a rock upward with velocity 15.0 m/s. How much later should he drop a second rock from rest so both rocks arrive simultaneously at the bottom of the cliff?
1.78 s
A ball is thrown vertically upwards at 24.5 m/s. For its complete trip (up and back down to the starting position), its average speed is
12.3 m/s
A ball is pushed downhill with an initial velocity of 3.0 m/s. The ball rolls down a hill with a constant acceleration of 1.6 m/s2. The ball reaches the bottom of the hill in 6.0 s. What is the ball's velocity at the bottom of the hill?
13 m/s
A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, another ball is dropped from a building 15 m high. After how long will the balls be at the same height? What is this height?
13.2 m
European sports car dealer claims that his product will accelerate at a constant rate from rest to a speed of 100 km/hr in 8.00 s. What is the speed after the first 4.00 s of acceleration? (Hint: First convert the speed to m/s.)
13.9 m/s
A ball is pushed with an initial velocity of 4.0 m/s. The ball rolls down a hill with a constant acceleration of 1.7 m/s2. The ball reaches the bottom of the hill in 7.0 s. What is the ball's velocity at the bottom of the hill?
16 m/s
An automobile driver puts on the brakes and decelerates from 35.0 m/s to zero in 11.0 s. What distance does the car travel?
193 m
A rock is rolled in the sand. It starts at 5.0 m/s, moves in a straight line for a distance of 6.0 m, and then stops. What is the magnitude of the average acceleration?
2.1 m/s^2
A bird, accelerating from rest at a constant rate, experiences a displacement of 22 m in 10 s. What is the average velocity?
2.2 m/s
A truck moves 80.0 m east, then moves 140.0 m west, and finally moves east again a distance of 80.0 m. If east is chosen as the positive direction, what is the truck's resultant displacement?
20.0 m
A change in a physical quantity w having initial value wi and final value wf is given by which of the following?
wf-wi
A motorist drives north for 35.0 minutes at 85.0 km/h and then stops for 15.0 minutes. He then continues north, traveling 130 km in 2.00 h. (a) What is his total displacement? (b) What is his average velocity?
a) (85km/h)(35min)(1hr/60min) + 130km = 180km b) (35 + 15)(1hr/60min) + 2hr = 2.83 hrs--> 180km/2.84hr = 63.6km/h
An object moves with constant acceleration 4.0 m/s2 and over a time interval reaches a final velocity of 12.0 m/s. (a) If its initial velocity is 6.0 m/s, what is its displacement during the time interval? (b) What is the distance it travels during this interval?(c) If its initial velocity is -6 m/s, what is its displacement during the time interval? (d) What is the total distance it travels during the interval in part (c)?
a) 13.5 m b) 13.5 m c) 22.5 m
A car traveling at a constant speed of 16.0 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 2.0 m/s2. (a) How long and how far does it take the trooper to overtake the speeding car? Solve this problem by a graphical method. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Solve the problem algebraically
a) The trooper will meet the car again when they have the same position at the same time, which means at the intersection of the two curves, read the time and position at which the curves intersect. The curves intersect at :t = 16.9 s and x = 287 m. b) To solve the problem algebraically solve the equation: xc = xp 16 +16 t = 1/2 (2 t2) that give t= 16.9s. Then substitute in any of the position equations to get chasing distance.
A ball is thrown vertically upward with a speed of 25.0 m/s. (a) How high does it rise? (b) How long does it take to reach its highest point? (c) How long does the ball take to hit the ground after it reaches its highest point? (d) What is its velocity when it returns to the level from which it started?
a) delta y= (v^2-v0^2)/ 2a= 31.9m b) t=v-v0/a= 2.55s c) delta y= (0)t+0.5at^2 t= sqrt(2(dy)/a) = 2.55s d) v=v0+at = -25m/s
