# What is exact change in position of the particle?

##
The velocity of a particle moving along the x-axis is given by #f(t)=15−5t# cm/s. Use a graph of f(t) to find the exact change in position of the particle from time t=0 to t=4 seconds.

The velocity of a particle moving along the x-axis is given by

##### 1 Answer

Nov 11, 2017

Change in position is also called displacement. It is a vector quantity.

#### Explanation:

Given

at

#t=0# ,#f=15#

at#t=1# ,#f=10#

at#t=2# ,#f=5#

at#t=3# ,#f=0#

at#t=4# ,#f=-5#

Plot graph as below

We know that

#:. "Displacement"="Area of "Delta ABC+"Area of "Delta CDE#

#=> "Displacement"=1/2xx3xx15+1/2xx(-5)xx1#

#=> "Displacement"=22.5-2.5=20cm#