Question

Displacement of a body is given by $x=5+3t+2t^2$. The value instantaneous acceleration is:

• A. $4$ units
• B. $6$ units
• C. $5$ units
• D. $2$ units

Answer 1

The correct option is A $4$ units

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

Differentiating the above equation with respect to time t we get velocity of the body

$v=\frac{dx}{dt}=3+4t$

Now again differentiating the velocity with respect to time we get acceleration

$a=\frac{dv}{dt}=4$