Question

If a ball is thrown upward with
velocity ‘v', it attained a height of
100m. Find the height attained if
initial velocity of ball is 2v.​

Answer 1

Given :  a ball is thrown upward with  velocity ‘v', attained a height of  100m.

To Find : height attained if  initial velocity of ball is 2v.

Solution:

Initial KE = (1/2)mv²

Initial PE = 0

At Highest point

KE = 0

PE = mgh

=>  (1/2)mv² = mgh

=> v² = 2gh

=> v² = 2g(100)

=> v² = 200g

if v = 2v

then

mgh = (1/2)m(2v)²

=> h = 2v²/g

=> h = 2 * 200g /g

=> h = 400

height attained  = 400 m

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