The ball takes 1.5 seconds to reach its maximum height
The ball's maximum height is 44 feet
<em><u>Solution:</u></em>
Given that,
<em><u>The height in feet after t seconds is given by the function:</u></em>
Let us first find the derivative of h(t)
Differentiate the given function with respect to t
At the maximum height the derivative of the function needs to be 0
Thus the ball takes 1.5 seconds to reach its maximum height
<h3><u>Find the ball's maximum height:</u></h3>
Substitute t = 1.5 in given function
Thus ball's maximum height is 44 feet