A ball is thrown into the air with an initial speed u. The time interval taken for the ball to rise to its maximum height is t r . The time interval taken for it to fall back down from this maximum

Question

A ball is thrown into the air with an initial speed u. The time interval taken for the ball to rise to its maximum height is t r ​ . The time interval taken for it to fall back down from this maximum height to its original position is t f ​ Under "real life" conditions, which of the following is satisfied by t r ​ and t f ​ .

TestHub · Accepted Answer

While rising, both gravity and air drag act downward: deceleration $> g$ , so $t_{r} < t$ (the time without air) ...(1)

While falling, drag acts upward: acceleration $< g$ , so $t_{f} > t$ ...(2)

Hence $t_{f} > t_{r}$ .

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