Polive agents flying a constant 200km/h horizontally in a low flying airplane wish to drop an explosive onto a master criminal's car travelling 130km/h on a level highway 88.0m below. At what angle (with the horizontal) should the car be in their sights when the bomb is released?

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anonymous · Answer

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anonymous · Answer

h=88 m
No matter when the bomb is dropped it will strike the ground in time ,t
$$t = \sqrt{2h/g}$$
Suppose the bomb is dropped when the relative separation between the bomb and the car is x. The velocity of bomb as seen by the car will be 200-130 =70km/h and it has to cover x distance in the above time with this speed.
 So x = v*t
Make sure that you convert speed in m/s. Then you will get x in meters.
You know x and h and you can easily find the angle.