Chapter 3.1, Problem 48PE

(a)

To determine

To calculate:

A quadratic function to model the data.

$s$	$30$	$35$	$40$	$45$	$50$
$d\left(s\right)$	$109$	$134$	$162$	$191$	$223$

$s$	$55$	$60$	$65$	$70$	$75$
$d\left(s\right)$	$256$	$291$	$328$	$368$	$409$

(b)

To determine

To calculate: The stopping distance for a car travelling at $62\text{ mph}$ before the brakes are applied.

(c)

To determine

To calculate: Would the car hit the dear, if $d\left(s\right)=0.0394s^2+2.532s-2.509$. The speed of the car is $53\text{ mph}$ and dear is standing at a distance of $245\text{ ft}$.