Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 21

EASY

JEE Main/Advance

IMPORTANT

Earn 100

A particle moves in a straight line so that it covers a distance $s = (a t^{3} + b t + 5) m,$ where $t$ is in second. If its acceleration after $4 s$ is $48 m s^{- 2},$ then $a$ is equal to

50% studentsanswered this correctly

Important Questions on Motion in a Straight Line

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 22

A particle moves in a straight line so that

s = \sqrt{t}

, then its acceleration is proportional to

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 23

A particle is located at

x = 0

and time

t = 0

, starts moving along the positive

x

direction with a velocity

v

that varies as

v = α \sqrt{x}

. The displacement of the particle varies with time as

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 24

A particle moves in a straight line in such a way that its velocity at any point is given by

v^{2} = 2 - 3 x

, where

x

is measured from a fixed point. The acceleration is

MEDIUM

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 25

A particle experiences a constant acceleration for

6

seconds after starting from rest. If it travels a distance

d_{1}

in the first two seconds,

d_{2}

in the next two seconds and a distance

d_{3}

in the last

2

seconds, then

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 27

A particle moving with a uniform acceleration travels

24

metres and

64

metres in first two successive intervals of

4

seconds each. Its initial velocity is___.

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 28

If

a, b

and

c

be the distances travelled by the body during

x^{th}, y^{th}

and

z^{th}

second from start, then which of the following relations is true?

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 29

A particle moves with constant acceleration along a straight line starting from rest. The percentage increase in its displacement during the

4^{th}

second compared to that in

3^{rd}

second is

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 2 - Motion in a Straight Line>EXERCISE>Q 30

In this problem "up" is taken to be positive. A ball thrown vertically upward with an initial velocity of

19.6 m s^{- 1},

after

5 s

has a velocity of