Question

The distance between two moving particles at any time t is a if v be their relative velocity and v1 and v2 be the components of v along and perpendicular to a the minimum distance between them is

Answer 1

Answer:

The relative speed is v. And V1 V2 are the along and vertical component. The resultant speed will be v making an angle ∆ with the component V1 such that

V = ✓(v1^2 +v2^2) and

Tan ∆ =V2/V1

The distance between the two particles will be minimum and it will be a ppn line to the restaurant speed line. Let's assume that is .So

Sin∆ = x/a

x = a Sin∆

If y is the intercept of ppn on resultant speed line then

Cos∆ = y/a

y = a Cos∆

Therefore one of the particle has to travel y distance relative to the other particle with speed v and time will be

T = y/v = a Cos∆/v

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