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Physics Vectors Relative Velocity MCQ (Single Correct)

A 2 m wide truck is moving with a uniform speed v 0 = 8 m/s along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4 m away from him. The minimum value of v so that he can cross the road safely is –

A
2.62 m/s
B
4.6 m/s
C
3.57 m/s
D
1.414 m/s

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Verified by Experts
The correct answer is:
C

Let the man starts crossing the road at an angle as shown in figure. For safe crossing the condition is that the man must cross the road by the time the truck describes the distance or .

For minimum
or
or
or

From Eq. (i)

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