A body moves in anticlockwise direction on a circular path in the x-y plane. The radius of the circular
path is 5 m and its centre is at the origin. In a certain interval of time, displacement of the body is
observed to be 6 m in the positive y-direction. Which of the following is true?
(A) Its initial position vector is 5î m.
(B) Its initial position vector is (-3î +4ņ)m.
(C) Its final position vector is (4î +39)m.
(D) Its final position vector is 6j m.
Answers
Answered by
2
Explanation:
A particle moving along a circular path of radius 6m uniform speed of 8ms
−1
.
the particle has velocity tangential to the circle all the time when particle complete half the circle than its change its direction opposite to each other.
initial and final velocity is v
1
and v
2
v
1
=−8
i
^
,v
2
=8
i
^
time taken t=
v
s
=
8
πR
=
8
6π
acceleration=(change in velocity)/(total time taken)
a=
t
v
2
−v
1
=
8
6π
8−(−8)
=
3π
64
Hence the correct answer is C
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