Linear Motion Calculator

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 Example

 Solved Problems

 Difficult Problems

Here, we show you a step-by-step solved example of linear motion. This solution was automatically generated by our smart calculator:

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

What do we already know? We know the values for time ($t$), velocity ($v$), initial velocity ($v_0$) and want to calculate the value of distance ($x$)

$t=2\:h,\:\: t_0=0,\:\: v=70\:mi/h,\:\: v_0=0,\:\: x_0=0,\:\: x=\:?$

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 $x$

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

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

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

Add the values $2$ and $0$

$x=0+70\cdot 2$

Multiply $70$ times $2$

$x=0+140$

Add the values $0$ and $140$

$x=140$

The complete answer is

The distance the car travels is $140$ mi

 Final answer to the problem