Exam 3: Motion in Two or Three Dimensions

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Free fall: A ball is projected upward at time t = 0.00 s, from a point on a roof 70 m above the ground and experiences negligible air resistance. The ball rises, then falls and strikes the ground. The initial velocity of the ball is Free fall: A ball is projected upward at time t = 0.00 s, from a point on a roof 70 m above the ground and experiences negligible air resistance. The ball rises, then falls and strikes the ground. The initial velocity of the ball is   Consider all quantities as positive in the upward direction. The velocity of the ball when it is   above the ground is closest to Consider all quantities as positive in the upward direction. The velocity of the ball when it is Free fall: A ball is projected upward at time t = 0.00 s, from a point on a roof 70 m above the ground and experiences negligible air resistance. The ball rises, then falls and strikes the ground. The initial velocity of the ball is   Consider all quantities as positive in the upward direction. The velocity of the ball when it is   above the ground is closest to above the ground is closest to

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Basic kinematics variables using calculus: The acceleration of an object as a function of time is given by a(t) = (3.00 m/s3)t, where t is in seconds. If the object has a velocity 1.00 m/s at time t = 1.00 s what is the displacement of the object between time t = 2.00 s and time t = 4.00 s?

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Free fall: A test rocket is fired straight up from rest with a net acceleration of 20.0 m/s2. After 4.00 seconds the motor turns off, but the rocket continues to coast upward with no appreciable air resistance. What maximum elevation does the rocket reach?

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Basic kinematics variables: If the fastest you can safely drive is Basic kinematics variables: If the fastest you can safely drive is   what is the longest time you can stop for dinner if you must travel   in   total? what is the longest time you can stop for dinner if you must travel Basic kinematics variables: If the fastest you can safely drive is   what is the longest time you can stop for dinner if you must travel   in   total? in Basic kinematics variables: If the fastest you can safely drive is   what is the longest time you can stop for dinner if you must travel   in   total? total?

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Free fall: Two identical objects A and B fall from rest from different heights to the ground and feel no appreciable air resistance. If object B takes TWICE as long as object A to reach the ground, what is the ratio of the heights from which A and B fell?

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Constant acceleration: A car accelerates from Constant acceleration: A car accelerates from   to   at a rate of   How far does the car travel while accelerating? to Constant acceleration: A car accelerates from   to   at a rate of   How far does the car travel while accelerating? at a rate of Constant acceleration: A car accelerates from   to   at a rate of   How far does the car travel while accelerating? How far does the car travel while accelerating?

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Basic kinematics variables: Suppose that a car traveling to the west (the -x direction) begins to slow down as it approaches a traffic light. Which statement concerning its acceleration in the x direction is correct?

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Basic kinematics variables: Arthur and Betty start walking toward each other when they are 100 m apart. Arthur has a speed of 3.0 m/s and Betty has a speed of 2.0 m/s. Their dog, Spot, starts by Arthur's side at the same time and runs back and forth between them at 5.0 m/s. By the time Arthur and Betty meet, what distance has Spot run?

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Basic kinematics variables: The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s (a) what is the average speed of the object? (b) what is the average velocity of the object? Basic kinematics variables: The figure shows the position of an object as a function of time, with all numbers accurate to two significant figures. Between time t = 0.0 s and time t = 9.0 s (a) what is the average speed of the object? (b) what is the average velocity of the object?

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Free fall: Which one of the following graphs could possibly represent the vertical position as a function of time for an object in free fall?

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Free fall: Two identical stones are dropped from rest and feel no air resistance as they fall. Stone A is dropped from height h, and stone B is dropped from height 2h. If stone A takes time t to reach the ground, stone B will take time

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Basic kinematics variables: The motion of a particle is described in the velocity versus time graph shown in the figure. We can say that its speed Basic kinematics variables: The motion of a particle is described in the velocity versus time graph shown in the figure. We can say that its speed

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Basic kinematics variables: Suppose that an object is moving with constant nonzero acceleration. Which of the following is an accurate statement concerning its motion?

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Free fall: Two objects are thrown from the top of a tall building and experience no appreciable air resistance. One is thrown up, and the other is thrown down, both with the same initial speed. What are their speeds when they hit the street?

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Basic kinematics variables using calculus: The acceleration of an object as a function of time is given by a(t) = (3.00 m/s3)t, where t is in seconds. If the object is at rest at time t = 0.00 s, what is the velocity of the object at time t = 6.00 s?

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Basic kinematics variables: The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s, what is (a) the average speed of the particle and (b) the average velocity of the particle? Basic kinematics variables: The figure represents the position of a particle as it travels along the x-axis. Between t = 2 s and t = 4 s, what is (a) the average speed of the particle and (b) the average velocity of the particle?

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Free fall: A ball is thrown directly upward and experiences no air resistance. Which one of the following statements about its motion is correct?

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Free fall: On the earth, when an astronaut throws a 0.250-kg stone vertically upward, it returns to his hand a time T later. On planet X he finds that, under the same circumstances, the stone returns to his hand in 2T. In both cases, he throws the stone with the same initial velocity and it feels negligible air resistance. The acceleration due to gravity on planet X (in terms of g) is

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Free fall: A ball is projected upward at time t = 0.0 s, from a point on a roof 90 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is Free fall: A ball is projected upward at time t = 0.0 s, from a point on a roof 90 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is   if air resistance is negligible. The time when the ball strikes the ground is closest to if air resistance is negligible. The time when the ball strikes the ground is closest to

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Constant acceleration: A car starts from rest and accelerates with a constant acceleration of 1.00 m/s2 for 3.00 s. The car continues for 5.00 s at constant velocity. How far has the car traveled from its starting point?

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