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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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Figure 2-42 shows part of a street where traffic flow is to be controlled to allow a platoon of cars to move smoothly along the street. Suppose that the platoon leaders have justreached intersection 2, where the green appeared when they were distance dfrom the intersection. They continue to travel at a certain speed (the speed limit) to reach intersection 3, where the green appears when they are distance dfrom it. The intersections are separated by distancesand. (a) What should be the time delay of the onset of green at intersection 3 relative to that at intersection 2 to keep the platoon moving smoothly?
Suppose, instead, that the platoon had been stopped by a red light at intersection 1. When the green comes on there, the leaders require a certain time to respond to the change and an additional time to accelerate at some rate ato the cruising speed. (b) If the green at intersection 2 is to appear when the leaders are distance d from that intersection, how long after the light at intersection 1
turns green should the light at intersection 2 turn green?
The position of an object moving along an x axis is given by, where x is in metres and tin seconds. Find the position of the object at following values of t:a) 1sec,(b)2sec, (c) 3sec, and (d) 4sec,(e) What is the object’s displacement between t=0and t=4sec? (f)What is its average velocity for the time interval from t=2sto t=4s? (g)Graph x vs t forand indicate how the answer for f can be found on the graph.
The brakes on your car can slow you at a rate of . (a)If you are going 137 km/ hand suddenly see a state trooper, what is the minimum time in which you can get your car under the90 km/ hspeed limit? (The answer reveals the futility of braking to keep your high speed from being detected with a radar or laser gun). (b)Graph x vs t and v vs t for such a slowing.
An electron has a constant acceleration of +. At a certain instant, its velocity is +localid="1654238193944" .What is its velocity (a) localid="1654238215362" earlier and (b)localid="1654238228852" later?
An electron moving along the x axis has a position given by, where tis in seconds. How far is the electron from the origin when it momentarily stops?
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