SOLUTION: A ball takes 1 second to hit the ground when dropped.It then takes 90%of this time to rebound to its new height and this continues until the ball comes to rest.What is the geometri

Question 683555: A ball takes 1 second to hit the ground when dropped.It then takes 90%of this time to rebound to its new height and this continues until the ball comes to rest.What is the geometric sequence?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
To fall down it takes 1second s.
To go up on rebound 0.9 s (90% of the time)
To fall down 0.9 s (When it falls down t=,no change in time)
To go up and rebound II 0.9*0.9 = 0.9^2
To fall down 0.9^2
To go up 0.9^3
To come down 0.9^3
Hence the time taken is 1 + 2(0.9) + 2(0.9) ^2 + 2(0.9) ^3 +...

RELATED QUESTIONS
Hi! I have a couple of questions I need help with so I would love for step-by step... (answered by solver91311)

A ball is dropped from the top of a 576 ft. building. Its height h(t) at time t seconds... (answered by jessica43)

how do i find the time it takes a ball dropped from 10ft. to hit the... (answered by scott8148)

A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the (answered by lwsshak3)

A rubber ball dropped on a hard surface takes a sequence of bounces, each on 2/5 as high... (answered by mananth)

A rubber ball is dropped on to a concrete driveway from a garage roof 10 feet above the... (answered by ikleyn)

Please help me solve this equation: the height in feet of a golf ball that is hit... (answered by richwmiller)

Solve. Define the variables and give an equation using the variable. A ball is dropped (answered by nyc_function)

When dropped, a ball rebounds to 4/25 of its original height. How high will the ball... (answered by Alan3354)