You have landed a summer job as the technical assistant to the director of an ad

Question

You have landed a summer job as the technical assistant to the director of an adventure movie shot here in Ohio. The script calls for a large package to be dropped onto the bed of a fast moving pick-up truck from a helicopter that is hovering above the road, out of view of the camera. The helicopter is 72 meters above the road, and the bed of the truck is 1 meter above the road. The truck is traveling down the road at a constant 18 m/s. You must determine when to cue the assistant in the helicopter to drop the package so it lands in the truck. If t=0 is the time that filming starts at and you can assume that the truck is already at speed, at what time should the helicopter release the package and how far back from the drop site should it be at t=0?

Explanation / Answer

time taken to reach the botton be t.so,

H=0.5gt^2

or (72-1)=0.5*9.8*t^2

or t=3.80655 s

distance=vt

=3.80655*18

=68.5179 m

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