A 10000 N car comes to a bridge during a storm and finds the bridge washed out.

Question

A 10000 N car comes to a bridge during a storm and finds the bridge washed out. The 650 N driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.0 m above the river, while the opposite side is a mere 1.60 m above the river. The river itself is a raging torrent 64.0 m wide.

Part A:
How fast should the car be traveling just as it leaves the cliff in order to clear the river and land safely on the opposite side?
Vmin= ? m/s

Part B:
What is the speed of the car just before it lands safely on the other side?
V= ? m/s

Explanation / Answer

let the time taken by car be t sec then v*t=64 for crossing river and s=u*t+a*t*t/2 (20-1.6)=0+9.8*t*t/2 t=1.93 sec v_vertical=u+a*t =0 + 9.8*1.93 =18.914 a)v=33.16 m/s b)horizontal speed will not change and =33.16 net speed=sqrt(33.16^2+18.914^2) =38.17 m/s

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