It takes 1.52 seconds for the ball to reach its maximum height. How long does it

Question

It takes 1.52 seconds for the ball to reach its maximum height. How long does it take the ball to rach the hoop? Answer in units of s.

Explanation / Answer

We can find out taking the components of velocity vector. =>taking Horizontal as X axis and Vertical Y axis .. =>Velocity component along X axis is 17 Cos 61deg=8.24m/s =>the highest point obtained is at a horizontal distance of l/2 from starting point.(i.e it is the mid point) =>SO in HORIZONTAL direction the ball covers l/2 distance in 1.52sec with velocity(horizontal) of 8.24 m/s. Since distance=Velocity x Time Hence we have l/2=8.24 x 1.52 ; l=25m =>Taking Horizontal case l=8.24 x Time that implies Time=25/8.24 =3.03s

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