Question

Car jumping river

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 m above the river, while the opposite side is a mere 1.8 m above the river. The river itself is a raging torrent 61.0 m wide.

If the banks of the river were of equal height and the maximum speed of the car is 160 km/hr, what is the minimum slope of the bank that would be necessary to land the car safely on the other side? Give the minimum value of sin( θ) for your answer.

Answer 1

thio Lwtlul re minimum 9 8 wned with 90 6 an nl