Chapter 4.5, Problem 16PPE

To determine

To write: A function that can represent the helicopter’s height and calculate height of helicopter at 45s.

Answer to Problem 16PPE

Helicopter’s height at 45 seconds will be 985ft and function for helicopter’s height is $h\left(t\right)=40+21t$

Explanation of Solution

Given information:

A helicopter is at height of 40 ft and then starts rising with rate of 21ft/s.

Height of helicopter at any time h .

Initialheight = 40 ft .

Rise rate = 21ft/s

Therefore height can be written as function of t (in secs) as follows:

  $h\left(t\right)=40+21t$

Using above function the height of helicopter at 45 seconds will be

  $\begin{array}{c}h\left(45\right)=40+21\times 45\\ =40+945\\ =985\end{array}$