A ball is placed on a long inclined ramp. It rolls down the ramp as shown in the diagram.

Question

The equation d = 23 · t2 represents the distance in feet, d, the ball travels in t seconds.

Part A
How far does the ball travel in 5 seconds? Show your work.

Part B
How many seconds would it take for the ball to travel 25 feet? Show your work.

Part C
If the ball traveled for 9 seconds, what would be the distance it traveled? Show your work.

Part D
In the inequality shown below, x and y are consecutive, positive integers. X<T<Y
If T is the time it takes for the ball to travel 1,000 feet, what are the values of x and y? Explain your answer.