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JEE PHYSICS MCQ: MOTION IN A STRAIGHT LINE

1 Hard

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Analyzing +4 | -1

The distance x covered by a particle in one-dimensional motion varies with time t as

{x^2} = a{t^2} + 2bt + c

. The accelerating of the particle varies as

View answer and explanation

Correct option: A

{x^{ - 3}}

Option A (

{x^{ - 3}}

) is correct. By differentiating the given equation twice with respect to time, the acceleration is found to be inversely proportional to x cubed.

More Questions from MOTION IN A STRAIGHT LINE

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Assertion: In a free fall, the initial velocity of a body may not be zero.
Reason: Free fall means the vertical acceleration of the body is equal to

\mathrm{g}

. A ball is thrown vertically upward with speed 15 m/s and it returns to the ground with speed 10 m/s as a constant air resistance acts. The maximum height attained by the ball is Which of the following is not a derived quantites? Assertion: If a body is dropped from the top of a tower of height

\mathrm{h}

and another body is thrown up simultaneously with velocity

\mathrm{u}

from the foot of the tower, then both of them would meet after a time

\frac{\mathrm{h}}{\mathrm{u}}

.
Reason: For a body projected upwards, the distance covered by the body in the last second of its upward journey is always

4.9 \mathrm{~m}

irrespective of velocity of projection.

(\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^2)

A particle is having uniform acceleration. If its displacement from

t

(t+1)

120 \mathrm{~m}

and change in velocity is

50 \mathrm{~m} / \mathrm{s}

. Find its displacement (in

\mathrm{m}

(t+2)

second. An aeroplane flies 400m north and 300m south and then flies 1200m upwards, then net displacement is