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A paricle is moving eastwards with a vel...

A paricle is moving eastwards with a velocity of `5m//s`. In `10s` the velocity changes to `5m//s` northwards. Find the average acceleration in this time.

A

zero

B

`(1)/(sqrt(2)) ms^(-2)` towards north-west

C

`(1)/(sqrt(2))ms^(-2)` towards north-east

D

`(1)/(2)ms^(-2)` towards north

Text Solution

Verified by Experts

The correct Answer is:
B
`vecv_(1) = +5hati`
`vecv_(2) = 5hatj`
`Delta vecv = 5hatj - 5hati`

`|Deltavecv| = 5sqrt(2)`
`a = (|Deltavec v|)/(t) = (5sqrt(2))/(10) = (1)/(sqrt(2)) ms^(-2)`
For direction,
`tan theta =- (5)/(5) =- 1`
`:.` Average acceleration is `(1)/(sqrt(2)) ms^(-1)` towards north west.
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