Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

NEET 2009

Exam: NEET
Year: 2009
Subject: Physics
Chapter: Motion in One Dimension

NEET 2009 · Physics · Motion in One Dimension

A particle starts its motion from rest under the action of a...

A particle starts its motion from rest under the action of a constant force. If the distance covered in first

10 \mathrm{~s}

is

\mathrm{s}_1

and that covered in the first

20 \mathrm{~s}

is

\mathrm{s}_2

, then

Options

A $\mathrm{s}_2=2 \mathrm{~s}_1$
B $\mathrm{s}_2=3 \mathrm{~s}_1$
C $s_2=4 s_1$
D $s_2=s_1$

Correct answer

C. $s_2=4 s_1$

Step-by-step solution

Key Idea If the particle is moving in a straight line under the action of a constant force then distance covered

\mathrm{s}=\mathrm{ut}+\frac{1}{2}

at

^2

. Since the body start from rest

\mathrm{u}=0\therefore \quad \mathrm{s}=\frac{1}{2} \mathrm{at}^2

Now,

\quad \mathrm{s}_1=\frac{1}{2} \mathrm{a}(10)^2

and

\mathrm{s}_{2}=\frac{1}{2} \mathrm{a}(20)^2 Dividing Eq. (i) and Eq. (ii), we get

\begin{aligned} \frac{\mathrm{s}_1}{\mathrm{~s}_2}& =\frac{(10)^2}{(20)^2}\\ \Rightarrow \quad s_2 & =4 \mathrm{~s}_{1} \end{aligned}

$

Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

A vehicle runs on a straight road of length 'L'. It travels half the distance with speed… MHT CET Medical 2026 For uniform acceleration in linear motion which of the following is NOT CORRECT ? MHT CET Medical 2026 Two cars, P and Q move toward each other, getting 8\ m closer every second. If they move… MHT CET Medical 2026 A block is kept on the floor of an elevator at rest. The elevator starts descending with… MHT CET Medical 2026 The acceleration (a ) -time (t ) graph for the body starting from rest is as shown in the… MHT CET Medical 2026 A train accelerates from rest at a constant rate 'p' for some time (attains velocity 'v')… MHT CET Medical 2026 The following plots show variation of velocity ( v ) with time ( t ), of a ball thrown… NEET 2026 Consider a particle moving along a straight line, whose position as a function of time is… NEET 2026 Full Motion in One Dimension list All NEET PYQs