Q84 / 90 · JEE Main 2019 (10 Jan Shift 2) · Physics

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 $t = 5 s ?$

A
10 $m$
Correct answer
B
9 $m$
C
$6 m$
D
$3 m$

Solution

Area enclosed by

V - T

graph=displacement (As particle moving in same direction)

(\frac{1}{2} \times 2 \times 2) + (2 \times 2) + (1 \times 3) =

Displacement

∴

So, displacement

= 9 m

Hence, the correct answer is option: 'B'.

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