the table relates to a function h(t) that models the height of a ball t seconds after it is dropped…

the table relates to a function h(t) that models the height of a ball t seconds after it is dropped. determine the initial height of the ball and the time interval before the ball hits the ground. t h(t) 0 150 1 145.1 2 130.4 3 105.9 4 71.6 5 27.5 6 -26.4 initial height = 0; hits the ground between 5 and 6 seconds initial height = 150; hits the ground between 5 and 6 seconds initial height = 0; hits the ground between 3 and 4 seconds initial height = 150; hits the ground between 4 and 5 seconds

the table relates to a function h(t) that models the height of a ball t seconds after it is dropped. determine the initial height of the ball and the time interval before the ball hits the ground. t h(t) 0 150 1 145.1 2 130.4 3 105.9 4 71.6 5 27.5 6 -26.4 initial height = 0; hits the ground between 5 and 6 seconds initial height = 150; hits the ground between 5 and 6 seconds initial height = 0; hits the ground between 3 and 4 seconds initial height = 150; hits the ground between 4 and 5 seconds

Answer

Explanation:

Step1: Find initial height

The initial height is when (t = 0). From the table, when (t=0), (h(0)=150).

Step2: Determine time of hitting ground

The ball hits the ground when (h(t)=0). The height is positive at (t = 5) ((h(5)=27.5)) and negative at (t = 6) ((h(6)=- 26.4)). So the ball hits the ground between (5) and (6) seconds.

Answer:

initial height = 150; hits the ground between 5 and 6 seconds