David's showerhead uses three gallons of water per minute. He wants to replace the showerhead with a new one that uses 40% less
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Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
Step-by-step explanation:
Given
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
Reorder
Using quadratic formula, we have:
Where
So, we have:
This gives:
or
or
or
But time can not be negative.
So, we have:
<em>Hence, time to hit the ground is 5.0625 seconds</em>