Taylor dropped a rubber ball from a height of 8 feet. The ball hit the ground after 1 second, bounced up to 5 feet in the next second, touched the ground after another second and bounced up to 2.5 feet after another second, at which time Taylor grabbed the ball and held it at the height for 2 more second. What is the interval where the graph is constant?

The graph is constant in the interval [4,6]

Step-by-step explanation:

We are given that,

Taylor dropped a rubber ball from a height of 8 feet.

So, at time t = 0 sec, the ball is being thrown.

Now, the next events follows as below:

1. After a second, the ball hits the ground.

2. It bounces up to 5 feet in the next second.

3. The ball again hits the ground in the next second.

4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.

So, we get the figure given below, we see that,

The graph is constant in the interval [4,6].