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A truck travelling due to north at 20m s...

A truck travelling due to north at `20m s^(-1)` turns west and travels at the same speed. Find the change in its velocity.

A

`40m//s S-W`

B

`20 sqrt(2)m//s N-W`

C

`40 m//s S-W`

D

`20 sqrt(2)m//s S-W`

Text Solution

Verified by Experts

The correct Answer is:
D
From (figure)
`vec(v)_(1)= 20hat(j) and vec(v)_(2)= -20hat(i)`
`Deltavec(v)= vec(v)_(2)-vec(v)_(1)= -20(hat(i)+hat(j))`
`|Deltavec(v)|=20 sqrt(2)` and direction
`theta= tan^(-1)(1)= 45^(@)` i.e., S-W
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