👉 Try now NerdPal! Our new math app on iOS and Android
  1. calculators
  2. Linear Motion

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.

Go!
Math mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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 complete answer is

The distance the car travels is $140$ mi

Final Answer

The distance the car travels is $140$ mi

Struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!