Question

30.The displacement of a particle moving along x-axis is given by x= 16t+7t2

.

Calculate it’s instantaneous velocity at 2s.​

Answer 1

$x = 16t + 7 {t}^{2}$

differentiating with respect to time...

$\frac{dx}{dt} = 16 + 14t$

now put t=2s in this eq

$instantaneous \: velocity \: = 16 + 14 \times 2$

$16 + 28$

$= 44m \: per \: second$

Answer 2

Hope it helps you ... ..

Velocity = 44 meter per second