A car traveling on a level horizontal road comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side of the road the car is on is 21.3 $\mathrmm$ above the river, while the opposite side is a mere 1.8 $\mathrmm$ above the river. The river itself is a raging torrent 61.0 $\mathrmm$ wide. (a) How fast should the car be traveling at the time it leaves the road in order just to clear the river and land safely on the opposite side? (b) What is the speed of the car just before it lands on the other side?
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A physics professor did daredevilstunts in his spare time. His last stunt was an attempt to jumpacross a river on a motorcycle (Fig. P3.67). The takeoff ramp wasinclined at $53.0^\circ,$ the river was 40.0 $\mathrmm$ wide, and the far bank was 15.0 $\mathrmm$ lower than the top of the ramp. The river itself was 100 $\mathrmm$below the ramp. You can ignore air resistance. (a) What should hisspeed have been at the top of the ramp to have just made it to theedge of the far bank? (b) If his speed was only half the value foundin part (a), where did he land? 2ff7e9595c
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