A particle starts from the origin at time t = 0 and moves along the...

A particle starts from the origin at time

t = 0

and moves along the positive

x-

axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time

t = 5s ?

A particle starts from the origin at time t = 0 and moves along the positive x- axis. The graph of velocity with

Options

A10 $m$
B9 $m$
C $6m$
D $3m$

Correct answer

B. 9 $m$

Step-by-step solution

Area enclosed by

V - T

graph=displacement (As particle moving in same direction)

\left(\dfrac{1}{2} \times 2 \times 2\right) + \left(2 \times 2\right) + \left(1 \times 3\right) =

Displacement<br/><br/>

∴

So, displacement

= 9m

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