The displacement of a particle moving along x axis given by x=20t+10t^2.Calculate the instantaneous velocity at t=2s

The displacement of a particle moving along x axis given by x=20t+10t^

1.	The displacement of a particle moving along x axis given by x=20t+10t^2.Calculate the instantaneous velocity at t=2s
Answer» :DISPLACEMENT = x = 20t + 10t².Differentiating x :⇒ V = dx/dt⇒ 20 + 210t⇒ 20 + 20tNow, Instantaneous velocity at time 2 seconds :⇒ 20 + 202⇒ 20 + 40⇒ 60 m/sHence, Instantaneous velocity at time = 2 seconds is 60 m/s.Some Additional Information -DISTANCE is the LENGTH of total path travelled by a body.Displacement is the shortest distance between the initial position and the final position of the body.The magnitude of displacement is EQUAL to or less than the magnitude of distance.Speed is distance travelled per unit time.Velocity is displacement per unit time.

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The displacement of a particle moving along x axis given by x=20t+10t^2.Calculate the instantaneous velocity at t=2s

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