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A particle is moving in a straight line. At time t, the distance between the particle from its starting point is given by x = t – 6t2 + t3. Its acceleration will be zero at (A) t = 1 unit time (B) t = 2 unit time (C) t = 3 unit time (D) t = 4 unit time

A particle is moving in a straight line. At time t, the distance between the particle from its starting point is given by
x = t – 6t2 + t3. Its acceleration will be zero at
(A) t = 1 unit time (B) t = 2 unit time (C) t = 3 unit time (D) t = 4 unit time

Grade:

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
11 months ago
Dear student

Double differentiate and equate to 0

the answer will come to be 2

Regards
Vikas TU
14149 Points
11 months ago
Using calculus, it's possible to calculate an object's velocity at any moment along its path. This is called instantaneous velocity and it is defined by the equation v = (ds)/(dt), or, in other words, the derivative of the object's average velocity equation.

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