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Standard XII

Physics

Relative Motion in 1D

Two bodies mo...

Question

Two bodies move toward each other from 10 m apart with a constant velocity they meet at C after 2s. What is the relative velocity of B w.r.t. A?

1 m/s

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-1 m/s

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5 m/s

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-5 m/s

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Solution

The correct option is D
-5 m/s

Velocity of B w.r.t. $A = U_{B A}$
We know $U_{B A} = U_{B} - U_{A}$
Where UB is velocity of B w.r.t. ground and UA is velocity of A w.r.t. ground
$∴ u_{B} = \frac{- 6}{2} = - 3 m / s$
$U_{A} = \frac{4}{2} = 2 m / s$
$U_{B A} = U_{B} - U_{A} = - 3 - 2 = - 5 m / s$

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Two bodies move toward each other from 10 m apart with a constant velocity they meet at C after 2s. What is the relative velocity of B w.r.t. A?

The correct option is D -5 m/s Velocity of B w.r.t. A=UBA We know UBA=UB−UA Where UB is velocity of B w.r.t. ground and UA is velocity of A w.r.t. ground ∴uB=−62=−3m/s UA=42=2m/s UBA=UB−UA=−3−2=−5m/s

The correct option is D
-5 m/s

Velocity of B w.r.t. $A = U_{B A}$
We know $U_{B A} = U_{B} - U_{A}$
Where UB is velocity of B w.r.t. ground and UA is velocity of A w.r.t. ground
$∴ u_{B} = \frac{- 6}{2} = - 3 m / s$
$U_{A} = \frac{4}{2} = 2 m / s$
$U_{B A} = U_{B} - U_{A} = - 3 - 2 = - 5 m / s$