1.

The displacement of an object is given by x = 14t2+ 8t + 1 m. Find the instantaneousvelocity at t= 2s.

Answer»

Answer :

Displacement = X = 14t² + 8t + 1.

Differentiating x :

⇒ v = dx/dt

⇒ 2*14t + 8 + 0

⇒ 28t + 8

Now, Instantaneous velocity at 2 seconds :

⇒ 28*2 + 8

⇒ 56 + 8

⇒ 64 m/s

Hence, Instantaneous velocity at time of 2 seconds = 64 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.


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