For a scene in a movie, a stunt driver drives a 1.90 103 kg pickup truck with a length of 4.09 m around a circular curve with a radius of curvature of 0.333 km (Fig. 7.29). The truck is to curve off the road, jump across a gully 10.0 m wide, and land on the other side 2.96 m below the initial side. What is the minimum centripetal acceleration the truck must have in going around the circular curve to clear the gully and land on the other side?

1 answer

Calculate the minimum V necessary to jump across the gully. Do this by using the maximum distance it can fall while crossing the gully. That gives you a minumum allowed time to fall.

Gully width)/(max fall time)
= minumum speed

Once you have V, the centripetal acceleration is V^2/R(