Question

Position of particle moving along x
axis is given by r=1+4+2. Here x is in
metre and t is in seconds. Find
displacement of particle from t = 2 to t
= 4 sec.
(1)
36 m
(2)
64 m
(3)
72 m
(4)
18 m​

Answer 1

Answer:

The correct option is A.

Given,

x=t

2

−4t+6

So, the change in velocity is:

dt

dx

=2t−4

Since velocity is changing,

At t=0,x

1

=6

At t=2,x

2

=2

So the magnitude of the distance traveled is:

6−2=4m

At t=3,x

3

=3

So distance traveled from t=2s to t=3s

x

3

−x

2

=3−2=1m

Thus the total distance is:

4+1=5m