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Chapter 4: Q25P (page 85)
The current world-record motorcycle jump is , set by Jason Renie. Assume that he left the take-off ramp at to the horizontal and that the take-off and landing heights are the same. Neglecting air drag, determine his take-off speed.
The take-off speed of the Jason Renie’ is
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In Fig. 4-48a, a sled moves in the negative X direction at constant speedwhile a ball of ice is shot from the sled with a velocityrelative to the sled. When the ball lands its horizontal displacementrelative to the ground (from its launch position to its landing position) is measured. Figure 4-48bgivesas a function of. Assume the ball lands at approximately its launch height. What are the values of (a)and (b)? The ball’s displacementrelative to the sled can also be measured. Assume that the sled’s velocity is not changed when the ball is shot. What iswhenis (c)and (d) 15.0 m/s?
A 200-m -wide river has a uniform flow speed of1.1 m/sthrough a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of4.0 m/swith respect to the water. There is a clearing on the north bank82 mupstream from a point directly opposite the clearing on the south bank. (a) In what direction must the boat be pointed in order to travel in a straight line and land in the clearing on the north bank? (b) How long will the boat take to cross the river and land in the clearing?
During a tennis match, a player serves the ball at, with the center of the ball leaving the racquet horizontallyabove the court surface. The net isaway andhigh. When the ball reaches the net, (a) does the ball clear it and (b) what is the distance between the center of the ball and the top of the net? Suppose that, instead, the ball is served as before but now it leaves the racquet at below the horizontal. When the ball reaches the net, (c) does the ball clear it and (d) what now is the distance between the center of the ball and the top of the net?
The acceleration of a particle moving only on a horizontalxyplane is given by , where is in meters per second squared and tis in seconds. At , the position vector locates the particle, which then has the velocity vector . At , what are (a) its position vector in unit-vector notation and (b) the angle between its direction of travel and the positive direction of the xaxis.
A graphing surprise. At time, a burrito is launched from level ground, with an initial speed ofand launch angle. Imagine a position vector continuously directed from the launching point to the burrito during the flight. Graph the magnitude rof the position vector for (a)and (b). For, (c) when does rreach its maximum value, (d) what is that value, and how far (e) horizontally and (f) vertically is the burrito from the launch point? For(g) when does rreach its maximum value, (h) what is that value, and how far (i) horizontally and (j) vertically is the burrito from the launch point?
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