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A ball is thrown vertically upwards. It was observed at a height $h$ , twice with a time interval $∆ t$ . The initial velocity of the ball is

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Important Questions on Kinematics

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 3>Q 3

A particle moving along x-axis has acceleration f , at time t , given by $f = f_{0} (1 - \frac{t}{T})$ , where $f_{0}$ and T are constants. The particle at $t = 0$ has zero velocity. In the time interval between $t = 0$ and the instant when $f = 0$ , the change in particle’s velocity $(v_{x})$ is

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 3>Q 4

A ball of mass $m$ is thrown upward with a velocity $v$ . The air exerts an average resisting force $F$ . The velocity with which the ball returns to the thrower is

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 3>Q 5

Two towns

A

and

B

are connected by a regular bus service with a bus leaving in either direction every

T \min

with same speed. A man cycling with speed of

20 km h^{- 1}

in the direction

A

B

, notices that a bus goes past him every

t_{1} = 18 \min

in the direction of motion, and every

t_{2} = 6 \min

in the opposite direction. What is the period

T

of the bus service? Assume that the velocity of cyclist is less than velocity of bus.

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 3>Q 6

Three particles

A, B

and

C

simultaneously start from the origin. Particle

A

moves with a velocity

a

along

X -

axis, particle

B

moves with a velocity

b

along

Y -

axis and particle

C

moves with a velocity

c

in the

X - Y

plane along the straight line

x = y

. The magnitude of

c

so that all the three particles always remain collinear is

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 3>Q 7

The velocity-time graph of a particle moving along a straight line is as shown in the diagram. The rate of acceleration and retardation is constant and is equal to $5 m s^{- 2}$ . If the average velocity during the motion is $20 m s^{- 1},$ then the maximum velocity of the particle is

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 3>Q 8

Initially car

A

10.5 m

ahead of car

B

. Both start moving at time

t = 0

in the same direction along a straight line. The velocity time graph of two cars is shown in figure. Find the time (in

s

) when the car

B

will catch the car

A

, will be:
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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 3>Q 9

The velocity displacement graph of a particle moving along a straight line is shown.

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The most suitable acceleration-displacement graph will be

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Physics Crash Course JEE Main>Chapter 2 - Kinematics>Level 3>Q 10

If vectors

\vec{A} = \cos (ω t) \hat{i} + \sin (ω t) \hat{j}

and

\vec{B} = \cos (\frac{ω t}{2}) \hat{i} + \sin (\frac{ω t}{2}) \hat{j}

are functions of time then the value of

t

at which they are orthogonal to each other is,

A ball is thrown vertically upwards. It was observed at a height h, twice with a time interval ∆t. The initial velocity of the ball is

Important Questions on Kinematics

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A ball is thrown vertically upwards. It was observed at a height $h$ , twice with a time interval $∆ t$ . The initial velocity of the ball is