Question

g The velocity (V) of a particle is given by 5t2 meters, where t is in s. Find the acceleration of the particle at t=3s.

Answer 1

Acceleration,
`a=45\ m/s^2`

Step-by-step explanation:

The velocity of a particle is given by :

`V=5t^2`

t is time in seconds

The acceleration in terms of velocity is given by :

`a=(dv)/(dt)\\\\a=(d(5t^2))/(dt)\\\\a=5* (t^3)/(3)`

We need to find the acceleration of the particle at t = 3 s. Put t = 3 s in the expression of a.

So,

`a=(5* 3^3)/(3)\\\\a=45\ m/s^2`

So, the acceleration of the particle at t = 3 s is
`45\ m/s^2`.