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

ID: 2169462 • Letter: A

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 decides to try leaping it with his car. The side the car is on is 22.4 m above the river while the opposite side is a mere 5.40 m. above the river. The river itself is a raging torrent 62.0 m wide.

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

Both answers are suppose to be in "m/s"

Explanation / Answer

the vertical drop time of the car is 21.4-2.2=.5*9.81*t^2 1.9785 seconds The car must also have x(1.9785)=69=v*1.9785 solve for v 34.9 m/s or 125.6 km/hr the speed of the car is sqrt(34.9^2+(9.81*1.9785)^2) 39.9 m/s or 143.8 km/hr

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