Question

The quadratic function h(t)=-16.1t^2+150 models a ball's height, in feet, over time, in seconds, after it is dropped from a 15 story building

from what height, in feet, was the ball dropped

after how many seconds, rounded to the nearest hundredth, did the ball hit the ground

Answer 1

To find out from what height the ball was dropped, we need to evaluate h(0), as h(t) represents the height of the ball at time t.

h(0) = -16.1(0)^2 + 150
h(0) = 150

Therefore, the ball was dropped from a height of 150 feet.

To find out how many seconds it took for the ball to hit the ground, we need to set h(t) equal to 0 and solve for t.

0 = -16.1t^2 + 150
16.1t^2 = 150
t^2 = 150/16.1
t^2 ≈ 9.32
t ≈ √9.32
t ≈ 3.05

Therefore, rounded to the nearest hundredth, the ball hit the ground after about 3.05 seconds.