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A balloon starts rising from the ground with an acceleration of $1.25 m s^{- 2}$ . After $8 s$ , a stone is released from the balloon. After releasing, the stone will

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Important Questions on Motion in One Dimension

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 4 - Motion in One Dimension>DPP>Q 1

120 m

long train

A

is moving in a direction with speed

20 m s^{- 1} .

Train

B

, moving with

30 m s^{- 1}

in the opposite direction and

130 m

long, crosses the train

A

in time

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 4 - Motion in One Dimension>DPP>Q 2

210

m

long train is moving due north at a speed of

25 m s^{- 1} .

A small bird is flying due south, a little above the train, with a speed

5 m s^{- 1} .

The time taken by the bird to cross the train will be

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 4 - Motion in One Dimension>DPP>Q 3

A police jeep is chasing a thief with velocity of

45 km h^{- 1},

a thief in another jeep is moving with velocity

153 km h^{- 1} .

Police fires a bullet with muzzle velocity of

180 m s^{- 1} .

The velocity with which it will strike the car of the thief is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 4 - Motion in One Dimension>DPP>Q 4

The distance between two particles is decreasing at the rate of

6 m s^{- 1} .

If these particles travel with the same speeds and in the same direction, then the separation increases at the rate of

4 m s^{- 1}

. The particles have speeds as

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 4 - Motion in One Dimension>DPP>Q 5

A boat moves with a speed of

4 km h^{- 1}

relative to water in a river, flowing with a speed of

3 km h^{- 1}

and having a width of

1 km

. The minimum time taken around a round trip is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 4 - Motion in One Dimension>DPP>Q 6

An express train is moving with a velocity

v_{1}

. Its driver finds another train moving on the same track in the same direction with velocity

v_{2}

. To escape collision, the driver applies a retardation

a

on the train. The minimum time of escaping the collision will be

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 4 - Motion in One Dimension>DPP>Q 7

A thief is running away on a straight road in a jeep moving at a speed of

9 m s^{- 1}

. A policeman chases him on a motorcycle moving at the speed of

10 m s^{- 1}

. If the initial separation of the jeep from the motorcycle is

100 m,

how long will it take for the police to catch the thief?

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 4 - Motion in One Dimension>DPP>Q 8

Two trains, one of length

100 m

and another of length

125 m,

moving in mutually opposite directions along parallel lines, meet each other, each with speed

10 m s^{- 1}

. If their accelerations are

0.3 m s^{- 2}

and

0.2 m s^{- 2}

respectively, then, the time they take to pass each other will be

A balloon starts rising from the ground with an acceleration of 1.25 m s-2. After 8 s, a stone is released from the balloon. After releasing, the stone will

Important Questions on Motion in One Dimension

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A balloon starts rising from the ground with an acceleration of $1.25 m s^{- 2}$ . After $8 s$ , a stone is released from the balloon. After releasing, the stone will