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A particle travels with speed 100m//s fr...

A particle travels with speed `100m//s` from the print `(10, 20)` in a direction `24hat(i)+7hat(j)`. Find its position verctor after `2` seconds.

A

`202hat(i)+76hat(j)`

B

`204hat(i)+78hat(j)`

C

`40hat(i)-151hat(j)`

D

`45hat(i)-151hat(j)`

Text Solution

Verified by Experts

The correct Answer is:
A
Displacement= (velocity) time `=100``((24hat(i)+7hat(j))/(25))(2)=(192hat(i)+56hat(j))m//s`
`:. Deltavec(r)=vec(r_(2))-vec(r_(1))`
`:. Deltavec(r_(2))=(101hat(i)+20hat(j))+(192hat(i)+56hat(j))=(202hat(i)+76hat(j))`
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