analyzing projectile motion represented by a table\nthe table relates to a function h(t) that models the…

analyzing projectile motion represented by a table\nthe table relates to a function h(t) that models the height of a ball t seconds after it is dropped.\ndetermine the initial height of the ball and the time interval before the ball hits the ground.\n| t | h(t) |\n|----|----| \n| 0 | 150 |\n| 1 | 145.1 |\n| 2 | 130.4 |\n| 3 | 105.9 |\n| 4 | 71.6 |\n| 5 | 27.5 |\n| 6 | -26.4 |\ninitial height = 0; hits the ground between 5 and 6 seconds\ninitial height = 150; hits the ground between 5 and 6 seconds\ninitial height = 0; hits the ground between 3 and 4 seconds\ninitial height = 150; hits the ground between 4 and 5 seconds

analyzing projectile motion represented by a table\nthe table relates to a function h(t) that models the height of a ball t seconds after it is dropped.\ndetermine the initial height of the ball and the time interval before the ball hits the ground.\n| t | h(t) |\n|----|----| \n| 0 | 150 |\n| 1 | 145.1 |\n| 2 | 130.4 |\n| 3 | 105.9 |\n| 4 | 71.6 |\n| 5 | 27.5 |\n| 6 | -26.4 |\ninitial height = 0; hits the ground between 5 and 6 seconds\ninitial height = 150; hits the ground between 5 and 6 seconds\ninitial height = 0; hits the ground between 3 and 4 seconds\ninitial height = 150; hits the ground between 4 and 5 seconds

Answer

Answer:

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

Explanation:

Step1: Find initial height

When (t = 0), (h(0)=150), so initial height is 150.

Step2: Determine time of hitting ground

The height is positive until (t = 5) ((h(5)=71.6)) and negative at (t = 6) ((h(6)= - 26.4)). So the ball hits the ground between 5 and 6 seconds.