Question

The displacement of a particle along x-axis is given by x=6t+12t square what is the instantaneous velocity at t = 2s

Answer 1

I hope this will be the answer

Answer 2

Answer :

Displacement = x = 6t + 12t².

Differentiating x :

⇒ v = dx/dt

⇒ 6 + 12*2t

⇒ 6 + 24t

Now, Instantaneous velocity at 2 seconds :

⇒ 6 + 24*2

⇒ 6 + 48

⇒ 54 m/s

Hence, Instantaneous velocity at time of 2 seconds = 54 m/s.

Some Additional Information -

• Distance is the length of the total path travelled by a body.

• Displacement is the shortest distance between the initial position and the final position of the body.

• Speed is the Distance travelled per unit time.

• Velocity is the Displacement per unit time.