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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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Important Questions on Kinematics

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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})

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 33

A particle of mass

m

is at rest at the origin at time

t = 0

. It is subjected to a force,

F (t) = F_{0} e^{- bt}

in the

x

direction. Its speed

v (t)

is depicted by which of the following curves?

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 34

A particle has an initial velocity $3 \hat{i} + 4 \hat{j}$ and an acceleration of $0.4 \hat{i} + 0.3 \hat{j}$ . Its speed after $10 s$ is,

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 35

A particle is moving with velocity

\vec{v} = K (y i + x j),

where

K

is a constant. The general equation for its path is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 36

A particle moves from the point

(2.0 \hat{i} + 4.0 \hat{j}) m

, at

t = 0

with an initial velocity

(5.0 \hat{i} + 4.0 \hat{j}) m s^{- 1}

. It is acted upon by a constant force which produces a constant acceleration

(4.0 \hat{i} + 4.0 \hat{j}) m s^{- 2}

What is the distance of the particle from the origin at time

2 s

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 37

An object moving with a speed of

6.25 m s^{- 1}

is decelerated at a rate given by,

\frac{d v}{d t} = - 2.5 \sqrt{v}

where

v

is instantaneous speed. The time taken by the object to come to rest would be,

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-3>Q 38

A particle of mass $m$ is at rest at the origin at time $t = 0 .$ It is subjected to a force $F (t) = F_{0} e^{- b t}$ in the $x$ direction. Its speed $v (t)$ is depicted by which of the following curves?

Hint $:$ Acceleration $= \frac{Force}{Mass}$

Important Questions on Kinematics

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