An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of de

Question

An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to : [Use g = 10 m s - 2 ].

TestHub · Accepted Answer

Net force while going upward will be m g + R = 50 + 10 = 60 N ⇒ a u p = 60 5 = 12 m s - 2 Similarly, Net force while going downward will be m g - R = 40 N ⇒ a d = 40 5 = 8 m s - 2 Since h = 1 2 a t 2 ⇒ a u p t u p 2 a d t d 2 = 1 ⇒ t u p t d = 8 12 = 2 3

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