The time it take the ball to reach 156feet above the ground level is 0.5 secs and 5.5 seconds
Functions and values
Given the height of the ball expressed by the function below;
h = -16t^2 + 96t + 112
where
t is the time in seconds
If the car is 156ft above the ground, hence
Substitute
-16t^2 + 96t + 112 = 156
Multiply through by -1
16t^2 - 96t - 112 = -156
16t^2 - 96t - 112 + 156 = 0
16t^2 - 96t + 44 = 0
4t^2 - 24t + 11 = 0
Factorize
On factorizing, the positive value of "t" is 0.5 secs and 5.5 seconds
Hence the time it take the ball to reach 156feet above the ground level is 0.5 secs and 5.5 seconds
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