The velocity of the particle moving along the straight line at any time, t is determined as v = 4t³/3 - 2t + C.
What is the velocity of the particle?
The velocity of an object is the rate of change of displacement with time. It is also the integral of acceleration of the object.
a = 4t² - 2
v = ∫a
v = 4t³/3 - 2t + C
Thus, the velocity of the particle moving along the straight line at any time, t is determined as v = 4t³/3 - 2t + C.
Complete question:
A particle moves along a straight line such that its acceleration is a=(4t^2-2). Find its velocity at any time, t.
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