Question

A person crossing a road with a certain velocity due north sees a car moving towards east. The relative velocity ot the car w.r.t the person is times that of the velocity of the person. The angle made by the relative velocity with the horizontal is 1) 30 2) 45 3) 600 4) 900​

Answer 1

Answer:

2)

Explanation:

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>>A person crossing the a road with a cert

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A person crossing the a road with a certain velocity due north sees a car moving towards east. The velocity of the car with respect to the person is

2

times that of velocity of the person. The angle made by the relative velocity with the east is

Medium

Solution

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Correct option is B)

V

person =v

j

^

V

car =u

i

^

V

cp=

V

car→person=u

i

^

−v

j

^

⇒∣

V

cp∣=

u

2

+v

2

given that ∣

V

cp∣=

2

V

⇒

u

2

+v

2

=

2

x⇒u

2

+v

2

=2v

2

⇒v

2

=u

2

⇒v=u

⇒

V

cp=v

i

^

−v

j

^

θ=tan

−1

v

v

⇒θ=45

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