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For any particle moving with some veloci...

For any particle moving with some velocity `(vecv)` & acceleration `(veca)`, tangential acceleration & normal acceleration are defined as follows.
Tangential acceleration - The component of acceleration in the direction of velocity.
Normal acceleration - The component of acceleration in the direction perpendicular to velocity.
If at a given instant, velocity & acceleration of a particle are given by .
`vecc=4hati +3hatj`
`vaca=10hati+15hatj+20hatk`
Find the tangential acceleration of the particle at the given instant :-

A

`17(4hati+3hatj)`

B

`(17)/(5)(4hati+3hatj)`

C

`17(4hati-3hatj)`

D

`(17)/(5)(4hati-3hatj)`

Text Solution

Verified by Experts

The correct Answer is:
B
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For any particle moving with some velocity (vecv) & acceleration (veca) , tangential acceleration & normal acceleration are defined as follows. Tangential acceleration - The component of acceleration in the direction of velocity. Normal acceleration - The component of acceleration in the direction perpendicular to velocity. If at a given instant, velocity & acceleration of a particle are given by . vecc=4hati +3hatj veca=10hati+15hatj+20hatk Find the normal acceleration of the particles at the given instant :-

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