The velocity of a particle is given by `v=(2t^(2)-3t+10)ms^(-1)`. Find the instantaneous acceleration at t = 5 s.

Explanation

To find the instantaneous acceleration of a particle given its velocity function, we can follow these steps:

### Step 1: Write down the velocity function
The velocity of the particle is given by the equation:
\[ v(t) = 2t^2 - 3t + 10 \, \text{m/s} \]

### Step 2: Differentiate the velocity function to find acceleration
Acceleration is defined as the rate of change of velocity with respect to time. Therefore, we need to differentiate the velocity function \( v(t) \) with respect to time \( t \):
...