A car drives in a parking lot at constant speed v in a large circle of radius R.

Question

A car drives in a parking lot at constant speed v in a large circle of radius R. Looking from above, the car is traveling counter-clockwise. At time t=0, the car crosses the x-axis at x=+R. Assume the parking lot defines the x-y plane, and z is the vertical direction. At t = ti, a passenger in the car tosses an apple vertically upward through the sunroof, releasing the apple with speed vz = vo. Constant gravity g is present. How long is the apple in the air? At precisely what (x,y) coordinates does the apple land in the parking lot? [Note: This problem has nothing to do with "Coriolis" effects.]

Explanation / Answer

a). time of flight is s=ut+1/2at^2

so t= 2Vo/g sec

b). since it is moving in constant speed v

so at the time of trowing it has only velocity in y direction

so y cordinate is V*t= 2VoV/g

so cordinate where apple will fall is

(R, 2VoV/g )

or X= R , Y= 2VoV/g

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