A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by . Does the ball reach a height of 251 feet?

Question

A ball is thrown straight upward from a bridge and then falls all the way to the ground (past the bridge). The ball s height h (in feet) above the ground t seconds after the ball is thrown is given by  . Does the ball reach a height of 251 feet?

Quizplus · Accepted Answer

We need to solve the equation h = -16t^2 + 64t + 200 for when h = 251. However, this equation only models the height of the ball up until it hits the ground. It does not take into account any height the ball traveled after hitting the ground. Therefore, we cannot determine if the ball reaches a height of 251 feet based on this equation alone.

A Ball Is Thrown Straight Upward from a Bridge and Then