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height nitting A bouncy ball is dropped the floor, the ball rebounds back up to 80% of it's previous height, and this pattern continues on repeatedly, until coming to rest. (a) Show that the total distance travelled by the ball until coming to rest can be expressed by 2+ 4(0.8) + 4(0.8)² + 4(0.8)* + -- (b) Find an expression for the total distance travelled by the ball, in terms of the number of bounces, n. (c) Find the total distance travelled by the ball.

height nitting A bouncy ball is dropped the floor, the ball rebounds back up to 80% of it's previous height, and this pattern continues on repeatedly, until coming to rest. (a) Show that the total distance travelled by the ball until coming to rest can be expressed by 2+ 4(0.8) + 4(0.8)² + 4(0.8)* + -- (b) Find an expression for the total distance travelled by the ball, in terms of the number of bounces, n. (c) Find the total distance travelled by the ball.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A bouncy ball is dropped from a height of 2 metres onto a concrete floor. After hitting the floor, the ball rebounds back up to 80% of it's previous height, and this pattern continues on repeatedly, until coming to rest. (a) Show that the total distance travelled by the ball until coming to rest can be expressed by 2+4(0.8) + 4(0.8)² + 4(0.8)* + -- (b) Find an expression for the total distance travelled by the ball, in terms of the number of bounces, n. (c) Find the total distance travelled by the ball
Transcribed Image Text:A bouncy ball is dropped from a height of 2 metres onto a concrete floor. After hitting the floor, the ball rebounds back up to 80% of it's previous height, and this pattern continues on repeatedly, until coming to rest. (a) Show that the total distance travelled by the ball until coming to rest can be expressed by 2+4(0.8) + 4(0.8)² + 4(0.8)* + -- (b) Find an expression for the total distance travelled by the ball, in terms of the number of bounces, n. (c) Find the total distance travelled by the ball
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