EASY

JEE Advanced

IMPORTANT

Earn 100

A particle moving with uniform acceleration from $A$ to $B$ along a straight line has velocities $v_{1}$ and $v_{2}$ at $A$ and $B$ , respectively. If $C$ is the mid-point between $A$ and $B$ , then determine the velocity of the particle at $C$ .

Important Questions on Kinematics I

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 4 - Kinematics I>ILLUSTRATION 4.19

A man loses

20 %

of his velocity after running through

108 m

. Prove that he cannot run more than

192 m

further, if his retardation is uniform.

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 4 - Kinematics I>ILLUSTRATION 4.20

Two trains

P

and

Q

are moving along parallel tracks with the same uniform speed of

20 {m s}^{- 1}

. The driver of train

P

decides to overtake train

Q

and accelerates his train by

1 m s^{- 2}

. After

50 s

, train

P

crosses the engine of train

Q

. Find out what was the distance between the two trains initially, provided the length of each train is

400 m

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 4 - Kinematics I>ILLUSTRATION 4.21>Q (a)

Consider a particle initially moving with a velocity of

5 m s^{- 1}

starts decelerating at a constant rate of

2 m s^{- 2} .

(a) Determine the time at which the particle becomes stationary.
(b) Find the distance travelled in the

2^{nd}

second.
(c) Find the distance travelled in the third second.

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 4 - Kinematics I>ILLUSTRATION 4.22

In a car race, car

A

takes a time of

t s,

less than car

B

at the finish and passes the finishing point with a velocity

v

more than the car

B .

Assuming that the cars start from rest and travel with constant accelerations

a_{1}

and

a_{2}

respectively, show that

v = \sqrt{a_{1} a_{2} t} .

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 4 - Kinematics I>CONCEPT APPLICATION EXERCISE 4.2>Q 1

A particle starts moving in a straight line with constant acceleration

a

and initial velocity

u

. Find the average velocity of a particle moving in first

t \sec

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 4 - Kinematics I>CONCEPT APPLICATION EXERCISE 4.2>Q 2

Two cars start off to race with velocities

4 m s^{- 1}

and

2 m s^{- 1}

and travel in a straight line with uniform accelerations,

1 m s^{- 2}, 2 m s^{- 2}

, respectively. If they reach the final point at the same instant, then find the length of the path.

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 4 - Kinematics I>CONCEPT APPLICATION EXERCISE 4.2>Q 3

A car is moving towards check post with velocity

54 km h^{- 1}

. When the car is at

400 m

from check post, the driver applies brake which causes deceleration of

0.3 m s^{- 2}

. Find the distance of car from check post for

2 \min

after applying the brakes.

MEDIUM

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 4 - Kinematics I>CONCEPT APPLICATION EXERCISE 4.2>Q 4

A car starts from rest and accelerates uniformly to a speed of $50 m s^{- 1}$ over a distance of $250 m$ .

(a) Find the acceleration and time taken by the car to cover this distance.

(b) Then, the speed of car is increased to $60 m s^{- 1}$ within $10 s$ if the acceleration is further increased. Find this acceleration and the distance travelled by car in $10 s$ .

A particle moving with uniform acceleration from A to B along a straight line has velocities v1 and v2 at A and B, respectively. If C is the mid-point between A and B, then determine the velocity of the particle at C.

Important Questions on Kinematics I

Learn and Prepare for any exam you want !

A particle moving with uniform acceleration from $A$ to $B$ along a straight line has velocities $v_{1}$ and $v_{2}$ at $A$ and $B$ , respectively. If $C$ is the mid-point between $A$ and $B$ , then determine the velocity of the particle at $C$ .