Question

Charlotte is driving at 70.4 mi/h and receives a text message. She looks down at her phone and takes her eyes off the road for 4.54 5. How far has Charlotte traveled in feet during this time? distance:

Answer 1

Answer:

$468.77 ft$

Explanation:

Charlotte is driving at $70.4\frac{mi}{h}$

Then Charlotte's speed is $70.4\frac{mi}{h}$

The time during she drove at this speed is $t=4.54 s$

There is an equation that relates distance,speed and time (when speed remaings the same) :

$Speed =\frac{distance}{time}$

$S=\frac{d}{t}$

First we need to convert the units

$70.4 \frac{mi}{h} .\frac{1 h}{3600s} .\frac{5280 ft}{1mi} =$

$\frac{7744}{75} \frac{ft}{s}$

Then

$\frac{7744}{75} \frac{ft}{s} =\frac{d}{4.54s}$

$\frac{7744}{75} \frac{ft}{s} .4.54s=d$

$d=468.77ft$

We suppose that the aceleration is equal to 0 during t=4.54s