A car comes to a bridge during a storm and finds the bridge washed out. The driv

Question

A car 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 the car is on is 22.3m above the river, while the opposite side is a mere 2.2m above the river. The river itself is a raging torrent 65.0mwide.

Part A

How fast should the car be traveling just as it leaves the cliff in order just to clear the river and land safely on the opposite side?

Part B

What is the speed of the car just before it lands safely on the other side?

Explanation / Answer

The vertical drop time of the car is
22.2-2.2=0.5x9.81xt2
t = 2.02 seconds

Also,
v x(2.02)=65
solve for v
Speed of the car before it leaves cliff v = 32.19 m/s

Speed of car just before it lands sefely V:
V = sqrt[32.192+(9.81x2.02)2
V = 37.8 m/s

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