Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 2

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The position $x$ of a particle with respect to time $t$ along $x$ -axis is given by $x = 9 t^{2} - t^{3}$ where $x$ is in $metres$ and $t$ in $seconds$ . Find what will be the position of the particle when it achieves maximum speed along the $+ x$ -direction?

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Important Questions on Kinematics

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 3

The distance travelled by a particle starting from rest and moving with an acceleration

\frac{4}{3} m s^{- 2}

, in the third second is

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 4

A particle moves in a straight line with a constant acceleration. It changes its velocity from

10 m s^{- 1}

to

20 m s^{- 1}

while passing through a distance of

135 m

in

t seconds

. The value of

t

is

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 5

A particle shows a distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point:

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 6

A particle of mass

m

is projected with velocity

v

making an angle of

45 °

with the horizontal. When the particle lands on the ground level, the magnitude of the change in its momentum will be

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 7

A body starting from rest is moving under a constant acceleration up to

20 \sec

. If it moves

S_{1}

distance in first

10 \sec

, and

S_{2}

distance in next

10 \sec

, then

S_{2}

will be equal to

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 8

A bus is moving at a speed of

10 m s^{- 1}

on a straight road. A scooterist wishes to overtake the bus in

100 s

. If the bus is at a distance of

1 km

from the scooterist, with what speed should the scooterist chase the bus?

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 9

A particle moves a distance

x

in time

t

according to equation

x = {(t + 5)}^{- 1}

. The acceleration of particle is proportional to

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Beta Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise (Analytical Questions)>Q 10

A ball is dropped from a high-rise platform at

t = 0

starting from rest. After

6 seconds

another ball is thrown downwards from the same platform with a speed

v

. The two balls meet at

t = 18 s

. What is the value of

v

?

(take g = 10 m s^{- 2})