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

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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

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Important Questions on Kinematics

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 9

A particle is moving along

x -

axis with constant acceleration. At

t = 0

the particle is at

x = 3 m

and

\frac{d x}{d t} = + 4 {ms}^{- 1}

. The maximum value of

x

co-ordinate of the particle is observed

2 s

later. Starting from

t = 0 \sec

, after what time particle reaches its initial position again?

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 10

The displacement

x

and time of travel

t

for a particle moving on a straight line are related as

t = \sqrt{(x + 1) (x - 1)} .

Its acceleration at a time

t

is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 11

A particle is projected from ground in vertical direction at $t = 0 .$ At $t = 0.8 s,$ it reaches $h = 14 m .$ It will again come to same height at $t = ? [g = 10 {ms}^{- 2}]$

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 12

Three particles are projected upward with initial speeds

10 {ms}^{- 1}, 20 {ms}^{- 1}

and

30 {ms}^{- 1} .

The displacements covered by them in their last second of motion are

x_{1}, x_{2}

and

x_{3}

then

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 13

Two particles are projected vertically upwards with the same velocity on two different planets with accelerations due to gravities

g_{1}

and

g_{2}

respectively. If they fall back to their initial points of projection after lapse of time

t_{1}

and

t_{2}

respectively. Then,

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 14

A ball is dropped vertically from a height

d

above the ground. It hits the ground and bounces up vertically to a height

d / 2

. Neglecting subsequent motion and air resistance, its velocity

v

varies with the height

h

above the ground is

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 15

A particle moves along the $Y$ -axis and its $y$ -coordinate $(y)$ changes with time $(t)$ as $y = u (t - 2) + a (t - 2)^{2}$ .

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Alpha Question Bank for Medical: Physics>Chapter 4 - Kinematics>Exercise-4>Q 16

The displacement of a body from a reference point is given by,

\sqrt{x} = 2 t - 3

where

' x'

is in metres and tin seconds. This shows that the body: