A boy plays with a ball and he drops it from a height of 1.5 m. Every time the ball hits the ground, it bounces back to attain a height 4/5th of the previous height. The ball does not bounce further if the previous height is less than 50 cm. What is the number of times the ball hits the ground before the ball stops bouncing ?
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Given A boy plays with a ball and he drops it from a height of 1.5 m. Every time the ball hits the ground, it bounces back to attain a height 4/5th of the previous height. The ball does not bounce further if the previous height is less than 50 cm. What is the number of times the ball hits the ground before the ball stops bouncing ?
- So the boy drops the ball from a height of 1.5 m. So the ball hits the ground.
- Now height h = 1.5 m = 150 cm
- Also the ball after hitting the ground bounces to attain 4/5 th of the the height of 150 cm
- So 4/5 x 150 = 120 cm
- So the ball reaches a height of 120 cm
- Again the ball hits the ground and bounces back, so it reaches the height of
- 4/5 x 120 = 96 cm
- So the ball reaches a height of 96 cm
- Similarly once again the ball hits the ground and bounces back, so it reaches the height of
- 4/5 x 96 = 76.8 cm
- Once again 4/5 x 76.8 will be 61.44 cm
- Now again 4/5 x 61.44 will be 49.152 cm
- Again the ball hits the ground.
- So the ball has bounced 6 times and according to the question the ball does not bounce further if the previous height is less than 50 cm.
- So the ball hits the ground 6 times.
Reference link will be
https://brainly.in/question/48171258
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