Question

The displacement s of particle moving along a straight line is given by, s = t3+3t2+5t, Where s is in metres and t is in seconds. The velocity of the particle at t = 2seconds is

Answer 1

Answer:

29 m/s

Explanation:

Now s = t^3 + 3*t^2 +5*t

Differentiating w. r. t time we get

ds/dt = 3*t^2 + 3*2*t + 5*1

or v = 3*t^2 + 6*t + 5

At t = 2 sec v = 3*2^2 + 6*2 + 5

or v = 12 + 12 + 5

or v = 29 m/s

Answer 2

Velocity is the rate of change of displacement per unit time.

Thanks!