Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 20127 MayOnline

Exam: JEE Main
Year: 2012
Date: 7 May
Mode: Online
Subject: Physics
Chapter: Motion in One Dimension

JEE Main 2012 · 7 May · Online · Physics · Motion in One Dimension

The graph of an object's motion (along the x- axis) is shown in the...

The graph of an object's motion (along the

x-

axis) is shown in the figure. The instantaneous velocity of the object at points

A

and

B

are

v_A

and

v_B

respectively. Then The graph of an object's motion (along the x- axis) is shown in the figure. The instantaneous velocity of the object at

The graph of an object's motion (along the x- axis) is shown in the figure. The instantaneous velocity of the object at

Options

A $v_A=v_B=0.5 \mathrm{~m} / \mathrm{s}$
B $v_A=0.5 \mathrm{~m} / \mathrm{s} < v_B$
C $v_A=0.5 \mathrm{~m} / \mathrm{s}>v_B$
D $v_A=v_B=2 \mathrm{~m} / \mathrm{s}$

Correct answer

A. $v_A=v_B=0.5 \mathrm{~m} / \mathrm{s}$

Step-by-step solution

Instantaneous velocity

v=\frac{\Delta x}{\Delta t}

From graph,

v_A=\frac{\Delta x_A}{\Delta t_A}=\frac{4 m}{8 s}=0.5 \mathrm{~m} / \mathrm{s}

and

v_B=\frac{\Delta x_B}{\Delta t_B}=\frac{8 m}{16 s}=0.5 \mathrm{~m} / \mathrm{s}

i.e.,

v_A=v_B=0.5 \mathrm{~m} / \mathrm{s}

Practice Motion in One Dimension on Quantrex Academy →

More from Motion in One Dimension

A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a… JEE Main 2026 Two masses of 3.4 kg and 2.5 kg are accelerated from an initial speed of 5 m/s and 12… JEE Main 2026 The velocity ( v ) versus time ( t ) plot of a particle is shown in the figure, for a… JEE Main 2026 From 18 m height above the ground a ball is dropped from rest. The height above the… JEE Main 2026 Two cars A and B are moving in the same direction along a straight line with speeds 100… JEE Main 2026 The velocity of a particle is given as v = -x i + 2y j - z k m/s. The magnitude of… JEE Main 2026 A particle starts moving from time t=0 and its coordinate is given as x(t)=4 t^ 3 -3 t A.… JEE Main 2026 Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the… JEE Main 2026 Full Motion in One Dimension list All JEE Main PYQs