Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

If a particle has a speed of $r$ feet per second and travels a distance $d$ (in feet) in time $t$ (in seconds), then $d=\_\_\_\_\_\_\_$ .

Step-by-Step Solution

Answer

The solution is $\left(r·t\right).$

Step 1. Given information

A particle has a speed of $r$ feet per second and travels a distance $d$(in feet) in time $t$ (in seconds)

Step 2. Calculation

Speed tells us how fast something or someone is travelling, distance refers to the numerical measurement of how far an object is from a particular place and time refers to an interval separating two events.

The formula $speed=\frac{dis\tan ce}{time}$ can be rearranged for distance as $dis\tan ce=speed\times time$.

The speed of a particle is $r$ feet per second and travels a distance $d$ (in feet) in time $t$ (in seconds), then -

$d=r·t$