6. A particle moves so that its position vector is given by i =sin 5tî – cos 5tj , where t is the time. Find the angle between the velocity V of the particle and the position vector i.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer Number 6
and acceleration at t = 1. [ Here you can choose x, y, z like x = 4t³, y = 3t3-1,
z = 5t-4 but not as these].
6. A particle moves so that its position vector is given by 7 =sin 5tî – cos 5tj , where t
-
is the time. Find the angle between the velocity V of the particle and the position
vector i.
Transcribed Image Text:and acceleration at t = 1. [ Here you can choose x, y, z like x = 4t³, y = 3t3-1, z = 5t-4 but not as these]. 6. A particle moves so that its position vector is given by 7 =sin 5tî – cos 5tj , where t - is the time. Find the angle between the velocity V of the particle and the position vector i.
Expert Solution
Step 1

Consider the given position vector.

r=sin5ticos5tj

Now, calculate the velocity vector of the particle.

drdt=ddtsin5ticos5tjV=5cost5ti+5sin5tj

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