JEE MATHEMATICS MCQ: RATE MEASURE

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Application +4 | -1

The distance travelled by a particle upto time

x

is given by

f\left( x \right) = {x^3} - 2x + 1.

The time

c

at which the velocity of the particle is equal to its average velocity between times

x = 1

sec and

x = 2

sec, is

View answer and explanation

Correct option: C

\sqrt 3 \;\mathrm{sec}

Option C (

\sqrt 3 \;\mathrm{sec}

) is correct because it represents the time at which the instantaneous velocity equals the average velocity over the given interval, as determined by the Mean Value Theorem.

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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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m

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c{m^2}

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

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