JEE Main 2019PhysicsMathematics in PhysicsEasyMCQ

JEE Main 2019 — Mathematics in Physics Question with Solution

JEE Main 2019 (09 Jan Shift 2)

Question

The position co-ordinates of a particle moving in a 3D coordinate system is given by

x=acos⁡ωt

y=asin⁡ωt

and z=aωt

The speed of the particle is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A2 aω

Step-by-step explanation

x=acos⁡ωt

y=asin⁡ωt

z=a ωt

vx=-aωsin⁡ωt

vy=aωcos⁡ωt

v2=aω

v=vx2+vy2+vz2

=-aωsin⁡ωt2+aωcos⁡ωt2+aω2

=aω2

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About this question

This is a previous-year question from JEE Main 2019, covering the Mathematics in Physics chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.