a-ball-is-droped-from-a-height-20-m-Given-that-it-rebounce-with-a-velocity-of-3-4-that-which-it-hit-the-ground-find-the-time-interval-between-the-first-and-second-rebounce-

Question Number 86479 by Rio Michael last updated on 28/Mar/20

a ball is droped from a height 20 m . Given that it

rebounce with a velocity of \frac{3}{4} that which it hit the ground

find the time interval between the first and second rebounce .

Answered by mr W last updated on 29/Mar/20

t h e h e i g h t a f t e r a r e b o u n c e i s {(\frac{3}{4})}^{2} o f

t h e h e i g h t b e f o r e t h e r e b o u n c e .

h_{0} = 20 m

h_{1} = {(\frac{3}{4})}^{2} 20 = 11.25 m

b e t w e e n t h e f i r s t a n d s e c o n d r e b o u n c e

t h e b a l l r e a c h e s a h e i g h t o f 11.25 m

a n d f a l l s d o w n a g a i n . t h e t i m e n e e d e d

i s t_{1} = 2 \sqrt{\frac{2 h_{1}}{g}} = 2 \sqrt{\frac{2 \times 11.25}{10}} = 3 s e c

Commented by Rio Michael last updated on 29/Mar/20

t h a n k s s i r