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JEE MATHEMATICS MCQ: RATE MEASURE

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The equation of motion of a particle moving along a straight line is

s = 2{t^3} - 9{t^2} + 12t,

where the units of

s

and

t

are centimeter and second. The acceleration of the particle will be zero after

View answer and explanation

Correct option: A

\frac{3}{2}s

Option A (

\frac{3}{2}s

) is correct because it is the time at which the second derivative of the position function (acceleration) is zero.

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The surface area of a sphere when its volume is increasing at the same rate as its radius, is A particle is moving in a straight line has velocity and displacement equation as

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\frac{1}{2 \pi+16}

\mathrm{cm} / \mathrm{sec}

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