Question

position of an object moving varies as x=t³/3+t²+2 where x is in metre and t is in second. Speed of the object at t=2 sec is

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Answer 1

Explanation:

Here we are given position as a function of time:

x = t³3t² + 12t + 20

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Velocity is defined as the derivative of position with respect to time. So we have:

V= 3t²6t+12

Now, we want initial velocity. Whenever we have to find "initial" quantity, we have to take t = 0.

Thus, initial velocity means velocity at t=0.

At t=0, the velocity is:

v = 0+0+12

V= 12 m/s