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

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