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Chapter 2: Q56P (page 36)
Figure 2-35 shows the speed v versus height y of a ball tossed directly upward, along a y axis. Distance d is0.40 m. The speed at heightis.The speed at heightis. What is speed?
The speed of a ball at height is .
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The position function of a particle moving along an x axis is , with x in metres and t in seconds. (a) At what time does the particle momentarily stop? (b) Where does the particle momentarily stop? At what (c) negative time and (d) positive time does the particle pass through the origin? (e) Graph x vs t for range to . (f) To shift the curve rightward on the graph, should we include the term role="math" localid="1657352173540" or in ? (g) Does that inclusion increase or decrease the value of x at which the particle momentarily stops?
In an arcade video game, a spot is programmed to move across the screen according to, where x is distance in centimeters measured from the left edge of the screen androle="math" localid="1656154621648" is time in seconds. When the spot reaches a screen edge, at eitheror, t is reset toand the spot starts moving again according to. (a) At what time after starting is the spot instantaneously at rest? (b) At what value of x does this occur? (c) What is the spot鈥檚 acceleration (including sign) when this occurs? (d)Is it moving right or left just prior to coming to rest? (e) Just after?(f) At what timedoes it first reach an edge of the screen?
At time t = 0, a rock climber accidentally allows a piton to fall freely from a high point on the rock wall to the valley below him. Then, after a short delay, his climbing partner, who is 10higher on the wall, throws a piton downward. The positions yof the pitons versus tduring the falling are given in Fig. 2-43. With what speed is the second piton thrown?
A ball of moist clay falls 15.0m to the ground. It is in contact with the ground for 20.0m sbefore stopping. (a) What is the magnitude of average acceleration of the ball during the time it is in contact with the ground? (treat the ball as a particle). (b) Is the average acceleration up or down?
The wings on a stonefly do not flap, and thus the insect cannot fly. However, when the insect is on a water surface, it can sail across the surface by lifting its wings into a breeze. Suppose that you time stoneflies as they move at constant speed along a straight path of a certain length. On average, the trips each takewith the wings set as sails and with the wings tucked in. (a) What is the ratio of the sailing speed to the non-sailing speed localid="1654754209433" ? (b) In terms oflocalid="1654754226410" , what is the difference in the times the insects take to travel the firstalong the path with and without sailing?
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