Question

The distance covered by a body along the x axis is given by x=2t^3+5t^2+t where t is measured in seconds and x is in meter. Find average speed in a time interval from t= 0s and t=2s

Answer 1

Explanation:

It is given that,

The distance covered by a body along the x-axis is given by :

$x=2t^3+5t^2+t$

t is in seconds and x is meters

Speed of the body is given by :

$v=\dfrac{dx}{dt}\\\\v=\dfrac{d(2t^3+5t^2+t)}{dt}\\\\v=6t^2+10t+1$

At t = 0,

$v=6(0)^2+10(0)+1=1\ m/s$

At t = 2 s,

$v=6(2)^2+10(2)+1=45\ m/s$

So, the average speed in a time interval from t= 0s and t=2s is 45 m/s.