GATE CE 2014 Set 1 — Question 38
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Engineering Mathematics → Calculus → Functions of Single Variable
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Question
A particle moves along a curve whose parametric equations are: , and , where , and show variations of the distance covered by the particle (in cm) with time (in s). The magnitude of the acceleration of the particle (in ) at is ________
Correct answer
12 to 12
Solution
Given parametric equations of motion:
Velocity components are obtained by differentiating with respect to :
Acceleration components are obtained by differentiating velocity with respect to :
At :
The magnitude of acceleration is:
.
Velocity components are obtained by differentiating with respect to :
Acceleration components are obtained by differentiating velocity with respect to :
At :
The magnitude of acceleration is:
.
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