5 points A ball is dropped from a height of 12 feet. Each time it hits the ground, it bounces half of its previous height. What is the total distance travelled by the ball?

Yazmin Sims

Yazmin Sims

Answered question

2022-10-28

5 points A ball is dropped from a height of 12 feet. Each time it hits the ground, it bounces half of its previous height. What is the total distance travelled by the ball?

Answer & Explanation

Gael Irwin

Gael Irwin

Beginner2022-10-29Added 13 answers

Solution:
H=12 feet
according to question,
Total distance travelled by the ball
d = 12 + 12 ( 1 2 ) + 12 ( 1 2 ) 2 + 12 ( 1 2 ) 2 + . . .
We know that sum of infinit
S = a q γ
where, a = 12 , γ = 1 2
S = 12 1 1 2 = 12 2 1 2 12 × 2 1 24  feet S = 24

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