TJA ball is dropped from a height of 1.8 meters and bounces on the ground. The maximum height by the ball, after each bounce, is 85% of the previous maximum height. IMM second bounce original height start first bounce third bounce a) Show that the maximum height reached by the ball after it has bounced for the sixth time is 68 cm, to the nearest cm. b) Find the number of times, after the first bounce, that the maximum height reached is is greater than 10 cm. c) Find the total vertical distance traveled by the ball from the point at which it is dropped until the fourth bounce.
TJA ball is dropped from a height of 1.8 meters and bounces on the ground. The maximum height by the ball, after each bounce, is 85% of the previous maximum height. IMM second bounce original height start first bounce third bounce a) Show that the maximum height reached by the ball after it has bounced for the sixth time is 68 cm, to the nearest cm. b) Find the number of times, after the first bounce, that the maximum height reached is is greater than 10 cm. c) Find the total vertical distance traveled by the ball from the point at which it is dropped until the fourth bounce.
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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Step 1: Calculation of Maximum height reached
VIEWStep 2: Calculation of Maximum height reached after 6th bounce
VIEWStep 3: Calculation of the number of times maximum height reached > 10cm
VIEWStep 4: Calculation of the number of times maximum height reached > 10cm (continued)
VIEWStep 5: The total vertical distance travelled until 4th bounce
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