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

Step-by-step 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=(dx)/(dt)\\\\v=(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.