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# Linear Motion Calculator

## Get detailed solutions to your math problems with our Linear Motion step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

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###  Difficult Problems

1

Solved example of linear motion

Find the distance travelled by a car going 70 miles per hour for 2 hours.
2

What do we already know? We know the values for time ($t$), velocity ($v$) and want to calculate the value of distance ($x$)

$t=2\:h,\:\: t_0=0,\:\: v=70\:mi/h,\:\: x_0=0,\:\: x=\:?$
3

According to the initial data we have about the problem, the following formula would be the most useful to find the unknown ($x$) that we are looking for. We need to solve the equation below for $x$

$x=x_0+v\left(t- t_0\right)$

4

We substitute the data of the problem in the formula and proceed to simplify the equation

$x=0+70\cdot \left(2- 0\right)$
5

Multiply $70$ times $2$

$x=0+140$
6

Add the values $0$ and $140$

$x=140$
7

The distance the car travels is $140$ mi
The distance the car travels is $140$ mi