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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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At the instant the traffic light turns green, an automobile starts with a constant acceleration aof. At the same instant, a truck traveling with a constant speed of, overtakes and passes the automobile. (a)How far beyond the traffic signal will the automobile overtake the truck? (b)How fast will the automobile be traveling at that instant?
How far does the runner whose velocity time graph is shown in Fig 2-40 travel in?The figure鈥檚 vertical scaling is set by .
To set a speed record in a measured (straight line) distance d, a race car must be driven in one direction (in time) and then in the opposite direction (in time). (a) To eliminate the effects of wind and obtain the car鈥檚 speedin a windless situation, should we find the average ofand(method 1) or should we divide d by the average ofand? (b) What is the fractional difference in the two methods when a steady wind blows along the car鈥檚 route and the ratio of wind speedto car鈥檚 speedis 0.0240.
Catapulting mushrooms.Certain mushrooms launch their spores by a catapult mechanism. As water condenses from the air onto a spore that is attached to the mushroom, a drop grows on one side of the spore and a film grows on the other side. The spore is bent over by the drop鈥檚 weight, but when the film reaches the drop, the drop鈥檚 water suddenly spreads into the film and the spore springs upward so rapidly that it is slung off into the air. Typically, the spore reaches the speed of 51.6 m/sin alaunch; its speed is then reduced to zero in 1.0 mmby the air. Using that data and assuming constant accelerations, (a) find the accelerations in terms of g during the launch. (b)Find the accelerations in terms of g during the speed reduction.
An abrupt slowdown in concentrated traffic can travel as a pulse, termed a shock wave, along the line of cars, either downstream (in traffic direction) or upstream, or it can be stationary. Figure 2-25shows a uniformly spaced line of cars moving at speed V=25 m/stoward a uniformly spaced line of slow cars moving at speed. Assume that each faster car adds length L=12.0 m(car length plus buffer zone) to the line of slow cars when it joins the line, and assume it slows abruptly at the last instant. (a) For what separation distance d between the faster cars does the shock wave remain stationary? If the separation is twice the amount, (b) What is the Speed? (c) What is the Direction (upstream or downstream) of the shock wave?
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