A baseball is thrown from a height of 5 feet. The height, h of the ball at time t seconds is modeled by the equation h(t) = -16t^2 + 100t + 5. How long will it take the ball to reach the ground?
Well, we just make h(t) 0 since it reprsents the height.
-16t^2 + 100t + 5 = 0
Using the Quadratic Formula,
We get the value of t as 25/8 +/- sqrt(645)/8.
The two solutions approximated are -0.05 seconds and 6.23 seconds. We take the positive solution in this case. It takes 6.23 seconds for the ball to reach the ground.