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A car accelerates from rest with $2 m / s^{2}$ on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is 100m in 20 second. Then the maximum velocity attained by the car is

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Important Questions on Dynamics

HARD

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

In a car race, two cars start with velocities

u_{1}

and

u_{2}

and travel along a straight line with accelerations

α

and

β

respectively. If both reach the finish line at the same time then range of the race is

EASY

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

An object is thrown vertically with a velocity

u

. The velocity with which it strikes the ground on its return is

MEDIUM

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A ball is projected vertically up from ground. Boy

' A'

standing at the window of first floor of a nearby building observes that the time interval between the ball crossing him while going up and the ball crossing him while going down is

2 s

. Another boy

B

standing on the second floor notices the time interval between the ball passing him twice, during up and down motion is

1 s

. Calculate the difference between the vertical positions of boy

B

and boy

A

. (Assume

g = 10 m s^{- 2}

)

HARD

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

Two particles

A

and

B

move from rest along a straight line with constant accelerations

f

and

h,

respectively. If

A

takes

m

seconds more than

B

and describes

n

units more than that of

B

acquiring the same speed, then

HARD

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A stone thrown down with a seed

u

takes a time

t_{1}

to reach the ground, while another stone, thrown upwards from the same point with the same speed, takes time

t_{2}

. The maximum height the second stone reaches from the ground is

MEDIUM

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A particle is projected vertically upwards. If it has to stay above the ground for

12 \sec

, then

HARD

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A helicopter rises from rest on the ground vertically upwards with a constant acceleration

g

. A food packet is dropped from the helicopter when it is at a height

h

. The time taken by the packet to reach the ground is close to [

g

is the acceleration due to gravity]:

MEDIUM

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A ball is dropped from the top of the building

100 m

high. Simultaneously, another ball is thrown upwards from the bottom of the building with such a velocity that the balls collide exactly mid-way. What is the speed in

m s^{- 1}

with which the second ball is thrown? (Take

g = 10 m s^{- 2}

)

EASY

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A particle starts from origin $O$ from rest and moves with a uniform acceleration along the positive $x - a x i s$ . Identify all figures that correctly represent the motion qualitatively.
( $a =$ acceleration, $v =$ velocity, $x =$ dispalcement, $t =$ time)
$(A)$ Question Image
$(B)$
$(C)$
$(D)$

MEDIUM

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

An object with mass

5 kg

is acted upon by a force,

\vec{F} = (- 3 \hat{i} + 4 \hat{j}) N

. If its initial velocity at

t = 0

\vec{v} = (6 \hat{i} - 12 \hat{j}) {ms}^{- 1},

the time at which it will just have a velocity along y-axis is

EASY

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A particle has initial velocity

(2 \hat{i} + 3 \hat{j})

and acceleration

(0.3 \hat{i} + 0.2 \hat{j})

. The magnitude of velocity after

10

seconds will be

EASY

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

In a car race on straight road, car

A

takes a time

t

less than car

B

at the finish and passes finishing point with a speed

v

more than that of car

B .

Both the cars start from rest and travel with constant acceleration

a_{1}

and

a_{2}

respectively. Then $v$ is equal to:

EASY

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A ball is dropped from a height of

19.6 m

. The distance covered by it in the last second is

HARD

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

From the top of a tower of height

H

, a body is thrown vertically upwards with a speed

u

. Time taken by the body to reach the ground is

3

times the time taken by it to reach the highest point in its path. Then, the speed

u

EASY

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A body moving with uniform acceleration

6 m / s^{2}

starts from rest. The distance covered by it in

4^{th}

second will be

EASY

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A boy pushes a box of mass

2 kg

with a force

\vec{F} = (20 \hat{i} + 10 \hat{j}) N

on a frictionless surface. If the box was initially at rest, then _______

m

is displacement along the

x

-axis after

10 s

HARD

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

An engine of a train, moving with uniform acceleration, passes the signal-post with velocity

u

and the last compartment with velocity

v

. The velocity with which middle point of the train passes the signal post is :

MEDIUM

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A ship of mass

2 \times 10^{7} kg

initially at rest is pulled by a force of

5 \times 10^{5} N

, through a distance of

2 m

. Assuming that the resistance due to water is negligible, the speed of the ship is

HARD

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

A parachutist with total weight

75 kg

drops vertically onto a sandy ground with a speed of

2 m s^{- 1}

and comes to a halt over a distance of

0.25 m

. The average force from the ground on her is close to-

HARD

Mathematics>Statics and Dynamics>Dynamics>Uniform Motion and Its Equation

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 car accelerates from rest with 2 m/s2 on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is 100m in 20 second. Then the maximum velocity attained by the car is

Important Questions on Dynamics

Learn and Prepare for any exam you want !

A car accelerates from rest with $2 m / s^{2}$ on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is 100m in 20 second. Then the maximum velocity attained by the car is