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Exam 2: Kinematics in One Dimension

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Question 41

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In which one of the following cases is the displacement of the object directly proportional to the elapsed time?

A) a ball rolls with constant velocity
B) a ball at rest is given a constant acceleration
C) a ball rolling with velocity v_o is given a constant acceleration
D) a bead falling through oil experiences a decreasing acceleration
E) a rocket fired from the earth's surface experiences an increasing acceleration

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Question 42

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2-12 A rock, dropped from rest near the surface of an atmosphere-free planet, attains a speed of 20.0 m/s after falling 8.0 meters. -How long did it take the object to fall the 8.0 meters mentioned?

A) 0.40 s
B) 0.80 s
C) 1.3 s
D) 2.5 s
E) 16 s

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Question 43

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A race car has a speed of 80 m/s when the driver releases a drag parachute.If the parachute causes a deceleration of -4 m/s², how far will the car travel before it stops?

2-6 An object is moving along the x axis.The graph shows its position from the starting point as a function of time.Various segments of the graph are identified by the letters A, B, C, and D. -During which interval(s) is(are) the object moving in the negative x direction?

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$ r. -What is the average speed of the car for one complete lap?

A rock is dropped from rest from a height h above the ground.It falls and hits the ground with a speed of 11 m/s.From what height should the rock be dropped so that its speed on hitting the ground is 22 m/s? Neglect air resistance.

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$ r. -In which one of the following situations does the car have a westward acceleration?

2-3 An object starts from rest and accelerates uniformly in a straight line in the positive x direction. After 11 seconds, its speed is 70.0 m/s. -How far does the object travel during the first 11 seconds?

2-13 A brass ball is shot vertically upward from the surface of an atmosphere-free planet with an initial speed of 20.0 m/s.One second later, the ball has an instantaneous velocity in the upward direction of 15.0 m/s. -Determine the velocity of the ball when it returns to its original position.Note: assume the upward direction is positive.

2-1 Peter noticed a bug crawling along a meter stick and decided to record the bug's position in five-second intervals.After the bug crawled off the meter stick, Peter created the table shown. -What is the total distance that the bug traveled between t = 0.00 s and t = 20.0 s? Assume the bug only changed directions at the end of a five-second interval.

2-13 A brass ball is shot vertically upward from the surface of an atmosphere-free planet with an initial speed of 20.0 m/s.One second later, the ball has an instantaneous velocity in the upward direction of 15.0 m/s. -How high does the ball rise?

A car traveling along a road begins accelerating with a constant acceleration of 1.5 m/s² in the direction of motion.After traveling 392 m at this acceleration, its speed is 35 m/s.Determine the speed of the car when it began accelerating.

A racecar, traveling at constant speed, makes one lap around a circular track of radius r in a time t.Note: The circumference of a circle is given by C = 2 $\pi$ r. -When the car has traveled halfway around the track, what is the magnitude of its displacement from the starting point?

An object moving along a straight line is decelerating.Which one of the following statements concerning the object's acceleration is necessarily true?

The minimum takeoff speed for a certain airplane is 75 m/s.What minimum acceleration is required if the plane must leave a runway of length 1050 m? Assume the plane starts from rest at one end of the runway.

A truck accelerates from rest at point A with constant acceleration of magnitude a and, subsequently, passes points B and C as shown in the figure. The distance between points B and C is x, and the time required for the truck to travel from B to C is t.Which expression determines the average speed of the truck between the points B and C?

Two cars travel along a level highway.It is observed that the distance between the cars is increasing.Which one of the following statements concerning this situation is necessarily true?

2-9 An object is moving along a straight line in the positive x direction.The graph shows its position from the starting point as a function of time.Various segments of the graph are identified by the letters A, B, C, and D. -During which interval(s) did the object move in the negative x direction?

2-8 An object is moving along a straight line.The graph shows the object's velocity as a function of time. -During which interval(s) of the graph does the object travel equal distances in equal times?

What is the speed of the particle after it has traveled 8 m?