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Chapter 4: Q13Q (page 83)
(a) Is it possible to be accelerating while traveling at constant speed? Is it possible to round a curve with (b) zero acceleration and (c) a constant magnitude of acceleration?
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A woman who can row a boat at 6.4 km/hin still water faces a long, straight river with a width of 6.4 km and a current of 3.2 km/h. Letpoint directly across the river andpoint directly downstream. If she rows in a straight line to a point directly opposite her starting position, (a) at what angle tomust she point the boat and (b) how long will she take? (c) How long will she take if, instead, she rowsdownthe river and then back to her starting point? (d) How long if she rows 3.2 kmupthe river and then back to her starting point? (e) At what angle toshould she point the boat if she wants to cross the river in the shortest possible time? (f) How long is that shortest time?
A plane flies east from city A to city B inand thensouth from city B to city C in. For the total trip, what are the (a)magnitude and(b)direction of the plane鈥檚 displacement, the(c)magnitude and(d)direction of the average velocity, and(e)it鈥檚 average speed?
Figure 4-28 shows four tracks (either half- or quarter-circles) that can be taken by a train, which moves at a constant speed. Rank the tracks according to the magnitude of a train鈥檚 acceleration on the curved portion, greatest first.
The only good use of a fruitcake is in catapult practice. Curve 1 in Fig. 4-24 gives the height y of a catapulted fruitcake versus the angle between its velocity vector and its acceleration vector during flight. (a) Which of the lettered points on that curve corresponds to the landing of the fruitcake on the ground? (b)
Curve 2 is a similar plot for the same launch speed but for a different launch angle. Does the fruitcake now land farther away or closer to the launch point?
A soccer ball is kicked from the ground with an initial speed ofat an upward angle of. A player away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground?
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