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Motion In A Plane

Question
CBSEENPH11018610

Two bodies A and B are approaching towards each other with speed 10 m/s and 54 km/hr. If the direction of motion of A is taken positive, then what is the relative velocity of B w.r.t. A?

Solution

Here,
 V e l o c i t y space o f space b o d y space A comma space stack straight v subscript straight A with rightwards arrow on top space equals space 10 straight m divided by straight s
V e l o c i t y space o f space b o d y space B comma space stack straight v subscript straight B with rightwards arrow on top space equals space minus 54 space km divided by hr space equals space minus 15 straight m divided by straight s
 
∴       
Relative velocity is given by, 
space stack straight v subscript straight r with rightwards arrow on top equals stack straight v subscript straight B with rightwards arrow on top space minus space stack straight v subscript straight A with rightwards arrow on top space equals space minus 15 minus 10 equals negative 25 straight m divided by straight s