Chapter 4.2, Problem 78E

( a)

To determine

To calculate:The tabulated values of height, $h$, when the basketball is thrown upward with the initial velocity $79$ feet per second, and complete the table given below such that the height as a function of time is represented as $h\left(t\right)=-16t^2+79t+5$,

$\begin{array}{ccccccc}t& 0& 1& 2& 3& 4& 5\\ h& & & & & & \end{array}$

Also, from the above table, determine whether the basketball reaches the height of $110\text{ feet}$ or not.

( b)

To determine

Whether the ball reaches the height of $110\text{ feet}$ or not, when height, as a function of time, is represented as $h\left(t\right)=-16t^2+79t+5$ for $0\le t\le 5$.

( c)

To determine

To graph:The function $h\left(t\right)=-16t^2+48t$, and determine graphically whether the ball reaches the height of $110\text{ feet}$ or not.

( d)

To determine

The comparison between the results obtained in part $\left(\text{a}\right),\left(\text{b}\right)\text{ and }\left(\text{c}\right)$, when the height with respect to time function is given as $h\left(t\right)=-16t^2+79t+5$ for $0\le t\le 5$.