Chapter 481Q4.23vaaaaavavavavvvvQ4.24arrrrraaaavvvQ4.25The unit vectors ±rand ±θare in different directions at different points in the xyplane. At a locationalong the x-axis, for example, ±±ri=and ±±θ=j, but at a point on the y-axis, ±±rj=and ±±θ=−i. The unitvector ±iis equal everywhere, and ±jis also uniform.Q4.26The wrench will hit at the base of the mast. If air resistance is a factor, it will hit slightly leeward ofthe base of the mast, displaced in the direction in which air is moving relative to the deck. If the boatis scudding before the wind, for example, the wrench’s impact point can be in front of the mast.Q4.27(a)The ball would move straight up and down as observed by the passenger. The ball wouldmove in a parabolic trajectory as seen by the ground observer.
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Velocity, 10 3 m, 2 330 m, 4 270 m, 4.87 km