Question

6) A boy holds two potatoes a heighth above the ground. He throws one vertically upward at speed and the other vertically downward at the same speed. Determine (a) the speed of each potato as it hits the ground and (b) the difference between their times of flight. Express your answers in terms of h, and g. (6)

Answer 1

-- Here for the one which is through up, 4 = 1/² =) Vo = fagy. Let Y, be its velocity as it reaches the point of projection in its return jourby. V, 0+2gy =) v = 2 gvo) = [V = Vol : The One which is thrown up will have same Velocity Vo as it is passing downward at point of projection. . Both the balls will have same velocity on reaching ground. Let y be the velocity on reaching ground. Then 2 = 1 +2gh =) Vz = 5 v6 + 2gn = (v2+2 gh)?

(b) The one which is 15 rown up will travel an extra time of (avo) above the point of projection s . Difference belineen there at = 2V. time of flights