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
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.