Question:
Four girls skating on circular ice ground of radius $200\,m$ start from a point $P$ on the edge of the ground and reach a point $Q$ diametrically opposite to $P$ following different paths as shown in figure. For which girl displacement is equal to the actual length of path?
Four girls skating on circular ice ground of radius $200\,m$ start from a point $P$ on the edge of the ground and reach a point $Q$ diametrically opposite to $P$ following different paths as shown in figure. For which girl displacement is equal to the actual length of path?
Updated On: Jul 6, 2022
- $A$
- $B$
- $C$
- $D$
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The Correct Option is C
Solution and Explanation
Displacement of each girl $=\overline{PQ}$
Magnitude of displacement for each girl
$=\left|\overline{PQ}\right|$
$=2\times200\,m$
$=400\,m$
For girl $C$, displacement = actual length of path.
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Notes on Motion in a plane
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration