Chapter SH, Problem 9.1MPS

(a)

To determine

To graph: The function of $h=-16t^2+64t$ .

Explanation of Solution

Given information:

The given function is $h=-16t^2+64t$ .

Calculation:

Calculate the function

The table as shown in the figure (1)

$t$	$h$
$-1$	$-16{\left(-1\right)}^2+16\left(-1\right)=-32$
0	$-16{\left(0\right)}^2+16\left(0\right)=0$
$1$	$-16{\left(1\right)}^2+16\left(1\right)=0$

Figure (1)

The function of the graph as shown in the figure (2)

  

Figure (2)

Therefore, the graph of the function is above solution.

(b)

To determine

To find: The maximum height that the rocket reaches.

Answer to Problem 9.1MPS

The maximum height is $4ft$ .

Explanation of Solution

Given information:

The given function is $h=-16t^2+64t$ .

Calculation:

Calculate the function is.

The maximum height is $4ft$ .

Therefore, the maximum height is $4ft$ .

(c)

To determine

To find: The how many second is the rocket in the air.

Answer to Problem 9.1MPS

The rocket in the air of time $t=1\sec .$

Explanation of Solution

Given information:

The given function is $h=-16t^2+64t$ .

Calculation:

Calculate the function is.

  $\begin{array}{c}0=-16t^2+16t\\ -16t\left(t-1\right)=0\\ t-1=0\\ t=1\end{array}$

Therefore, the rocket in the air of time $t=1\sec .$