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In which one of the following cases is the displacement of the object linearly proportional to the elapsed time? O a ball at rest is given a constant acceleration O a ball rolls with constant velocity O a ball rolling with velocity vo is given a constant acceleration O a bead falling through oil experiences a decreasing acceleration O a rocket fired from the earth's surface experiences an increasing accelerationAt one particular moment, a suhwav train is moving with a positive velocitv and positive acceleration. Which of the following phrases best describes the motion of this train? Assume the front of the train is pointing in the positive x direction. {3 The train is moving faster as it moves forward. {3 The train is moving forward as it slows down. {3 The train is moving in reverse as it slows down. {3 The train is moving faster as it moves in reverse. Two objects A and B accelerate from rest with the same constant acceleration. Object A accelerates for twice as long as object B, however. Which one of the following statements is true concerning these objects at the end of their respective periods of acceleration? Object A will travel four times as far as object B O Object A will travel twice as far as object B O Object A will travel nine times further than object B O Object A will be moving four times faster than object B O Object A will be moving eight times faster than object BBall A is dropped from rest from a window. At the same instant, ball B is thrown downward; and ball C is thrown upward from the same window. Which statement concerning the balls is necessarily true if air resistance is neglected? O All three balls have the same acceleration at any instant O At some instant after it is thrown, the acceleration of ball C is zero O All three balls strike the ground at the same time O All three balls have the same velocity at any instant O All three balls reach the ground with the same velocityThree runners start at the same place. Shaun runs 4.0 km due east and then runs 1.0 km due west. Mark runs 3.0 km due west. Jeff runs 2.0 km due west and then runs 5.0 km due east. Which of the following is true concerning the displacement of each runner? O Shaun's displacement equals Mark's displacement, but Jeff's displacement is different O Mark's displacement equals Jeff's displacement, but Shaun's displacement is different Shaun, Mark, and Jeff have the same displacements O Shaun, Mark, and Jeff have different displacements O Shaun's displacement equals Jeff's displacement, but Mark's displacement is differentOnly one of the following is possible for a moving object. Which one is it? O The velocity is constant at all times, and the acceleration is not zero O The velocity is directed eastward and is increasing, while the acceleration is directed westward O The velocity is directed eastward and is decreasing, while the acceleration is also eastward O The velocity is directed northward and is increasing, while the acceleration is zero O The velocity is directed eastward and is increasing, while the acceleration is also eastwardIn which one of the following situations does a car have an eastward acceleration? O The car travels eastward and slows down O The car travels westward at constant speed O The car travels westward and speeds up O The car travels westward and slows down O The car travels northward and slows down