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Chapter 2: Q2. (page 43)
What must your car’s average speed be in order to travel 235 km in 2.75 h?
The average speed of the car must be .
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A bird can fly at 25 km/h. How long does it take to fly 3.5 km?
In a putting game, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup, say 1.0 m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is, putting the ball downhill, see Fig. 2–47) is more difficult than from a downhill lie. Assume that on a particular green, the ball constantly decelerates atgoing downhill and atgoing uphill to see why. Suppose you have an uphill lie 7.0 m from the cup. Calculate the allowable range of initial velocities you may impart to the ball so that it stops in the range 1.0 m short to 1.0 m long of the cup. Do the same for a downhill lie 7.0 m from the cup. What, in your results, suggests that the downhill putt is more difficult?
FIGURE 2-47 Problem 70
At highway speed, a particular automobile is capable of an acceleration of about 1.8 . At this rate, how long does it take to accelerate from 65 km/h to 120 km/h?
In the design of a rapid transit system, it is necessary to balance the average speed of a train against the distance between station stops. The more stops there are, the slower the train’s average speed. To get an idea of this problem, calculate the time it takes a train to make a 15.0-km trip in two situations: (a) the stations at which the trains must stop are 3.0 km apart (a total of 6 stations, including those at the ends); and (b) the stations are 5.0 km apart (4 stations total). Assume that at each station the train accelerates at a rate ofuntil it reaches, then stays at this speed until its brakes are applied for arrival at the next station, at which time it decelerates at. Assume it stops at each intermediate station for 22 s.
A runner hopes to complete the 10,000-m run in less than 30.0 min. After running at constant speed for exactly 27.0 min, there are still 1200 m to go. The runner must then accelerate atfor how many seconds in order to achieve the desired time?
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