Question

Figure shows the graph of velocity versus time for
a particle going along x axis. Initially at
t=0, particle is at x = 3m. Find position of particle
at t = 2s. (in m)
v(m/s)
10
502
0
8
t​

Answer 1

Explanation:

Let x1 and x2 be the distance traveled by 1st and 2nd body respectively.

1st body is moving with constant acceleration. 

So, x1= ut + 21at2

u= 0, as it starts from rest. So x1= 21at2

2nd body is moving with constant speed. x2 be the distance traveled by 2nd body in t time

x2= v2

Now, (x1−x2)= 21at2- v2t

Since the 2nd body is proportional to t. (as it moving in constant speed). Therefore it is a parabola after crossing x-axis.

The parabolic graph satisfies the condition.