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A projectile can have the same range for two angles of projection. If $h_{1}$ and $h_{2}$ are maximum heights when the range in the two cases is $R,$ then the relation between $R, h_{1}$ and $h_{2}$ is:

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Important Questions on Kinematics

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 25

A bomb released by a horizontal flying aero plane the trajectory of the bomb is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 26

Two projectiles are fired from the same point with the same speed at angles of projection

60 °

and

30 °

respectively. Which one of the following is true?

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 27

The displacement of a particle starting from rest (at

t = 0

) is given by

s = 6 t^{2} - t^{3}

. The time in seconds at which the particle will attain zero velocity again, is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 28

The graph shows the variation of velocity of a rocket-with time. The time of burning of fuel from the graph is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 29

A body is at rest at

x = 0 .

t = 0,

it starts moving in the positive

x -

direction with a constant acceleration. At the same instant another body passes through

x = 0

moving in the positive

x

-direction with a constant speed. The position of the first.body is given by

x_{1} (t)

after time

t

and that of second body by

x_{2} (t)

after the same time interval. Which of the following graphs correctly describes

(x_{1} - x_{2})

as a function of time

t

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 30

Two stones are thrown up simultaneously from the edge of a cliff

240 m

high with initial speed of

10 m / s

and

40 m / s

respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first? (assume stones do not rebound after hitting the ground and neglect air resistance, take

g = 10 m / s^{2}

) (The figures are schematic and not drawn to scale.)

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 31

A particle of mass

m

is projected from the ground with an initial speed

u_{0}

at an angle

α

with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed

u_{0}

. The angle that the composite system makes with the horizontal immediately after the collision is:

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 32

A piece of wood of mass

0.03 kg

is dropped from the top of a

100 m

height building. At the same time, a bullet of mass

0.02 kg

is fired vertically upward, with a velocity

100 m s^{- 1},

from the ground. The bullet gets embedded in the wood. Then the maximum height to which the combined system reaches above the top of the building before falling below is:

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

A projectile can have the same range for two angles of projection. If h1 and h2 are maximum heights when the range in the two cases is R, then the relation between R, h1 and h2 is:

Important Questions on Kinematics

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A projectile can have the same range for two angles of projection. If $h_{1}$ and $h_{2}$ are maximum heights when the range in the two cases is $R,$ then the relation between $R, h_{1}$ and $h_{2}$ is: