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A particle starts from origin at time $t = 0$ and moves along the positive $x -$ axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t = 5 s$ ?

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Important Questions on Kinematics

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 45

A passenger train of length

60 m

travels at a speed of

80 km {hr}^{- 1}

. Another freight train of length

120 m

travels at a speed of

30 km {hr}^{- 1}

. The ratio of times taken by the passenger train to completely cross the freight train when :

(i)

they are moving in the same direction and

(ii)

in the opposite direction is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 1

A rifle bullet loses

\frac{1}{20^{th}}

of its velocity in passing through a plank. The least number of such planks required to just stop the bullet is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 2

A heavy stone is thrown in from a cliff of height

h

in a given direction. The speed with which it hits the ground

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 3

A particle when projected in vertical plane moves along the fixed smooth surface with initial velocity $20 m / s$ at an angle of $60 °,$ so that its normal reaction on the surface remains zero throughout the motion. Then the slope of the tangent to the surface at height $5 m$ from the point of projection A will be:

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 4

A projectile is thrown with a speed

v

at an angle

θ

with the vertical. Its average velocity between the instants it crosses half the maximum height is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 6

A ball is projected upwards from the top of a tower with a velocity of

50 m s^{- 1}

, making an angle of

30^{o}

with the horizontal. The height of the tower is

70 m

. After how much time, from the instant of throwing, will the ball reach the ground?

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 7

4 seconds

be the time in which a projectile reaches a point

P

of its path and

5 seconds

the time from

P

till it reaches the horizontal plane through the point of projection. The height of

P

above the horizontal plane will be

- [g = 9.8 m s^{- 2}]

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 8

Two objects moving along the same straight line are leaving point

A

with an acceleration

a, 2 a &

velocity

2 u, u

, respectively at time

t = 0 .

The distance moved by the object with respect to point

A

when one object overtakes the other is

A particle starts from origin at time t=0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t=5 s?

Important Questions on Kinematics

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A particle starts from origin at time $t = 0$ and moves along the positive $x -$ axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t = 5 s$ ?