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JEE Main

IMPORTANT

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A particle moves along $x -$ axis such that its position varies with time as $x = 50 t - 5 t^{2}$ . Select the correct alternative(s).

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Important Questions on Motion in One Dimension

MEDIUM

JEE Main

IMPORTANT

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

A particle is moving along a straight line with a constant acceleration of

- 4 m s^{- 2}

. It passes through a point

A

on the line with a velocity of

+ 8 m s^{- 1}

at some moment. The distance traveled by the particle in

5 \sec

after that moment will be

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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 2

A driver having a definite reaction time is capable of stopping his car over a distance of

30 m

on seeing a red traffic signal, when the speed of the car is

72 km h^{- 1}

and over a distance of

10 m

, when the speed is

36 km h^{- 1}

. Find the distance over which he can stop the car if it was running at a speed of

54 km h^{- 1}

. Assume that his reaction time and the deceleration of the car remains the same in all three cases.

EASY

JEE Main

IMPORTANT

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

A particle experiences a constant acceleration for

20 s

after starting from rest. If it travels a distance

S_{1}

in the first

10 s

and a distance

S_{2}

in the next

10 s

, then

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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 4

A body is moving from rest under constant acceleration. Let

S_{1}

be the displacement in the first

(p - 1) \sec

and

S_{2}

be the displacement in the first

p \sec

. The displacement in

{(p^{2} - p + 1)}^{th} \sec

will be

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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 5

A particle travels

10 m

in the first

5 \sec

and

10 m

in the next

3 \sec

. Assuming constant acceleration, what is the distance traveled in the next

2 \sec

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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 6

A particle starts from rest, accelerates at

2 m s^{- 2}

for

10 s

and then goes at a constant speed for

30 s

and then decelerates at

4 m s^{- 2}

till it stops. What is the distance traveled by it?

MEDIUM

JEE Main

IMPORTANT

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

A car starts from rest and moves with uniform acceleration

a

on a straight road from time

t = 0

t = T

. After that, a constant deceleration brings it to rest. In this process, the average speed of the car is

MEDIUM

JEE Main

IMPORTANT

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

A body moving with uniform acceleration describes

40 m

in the first

5 \sec

and

65 m

in next

5 \sec

. Its initial velocity will be

A particle moves along x-axis such that its position varies with time as x=50t-5t2. Select the correct alternative(s).

Important Questions on Motion in One Dimension

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A particle moves along $x -$ axis such that its position varies with time as $x = 50 t - 5 t^{2}$ . Select the correct alternative(s).