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The shortest distance between the car an...

The shortest distance between the car and the motorcycle if their initial positions are as shown, will be :

A

100 m

B

`50sqrt(2)`

C

50 m

D

0 m

Text Solution

Verified by Experts

The correct Answer is:
b
`overset(rarr)V_(MC)=overset(rarr)V_(MG)-overset(rarr)V_(CG)=30 hat I -30hatj`
`tan theta =30/30 =1`
`rarr theta =45^(@)`
shortest distance = `cp =100 sin 45^(@) =50 sqrt(2)m`
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