Relative velocity Formula and Relative velocity Sums

Relative velocity Formula :

Relative velocity Formula V(m/s) in meter per second is equal to the A and B respect with velocity vAB(m/s) in meter per second and addition of t he B and C respect with velocity VBC(m/s) in meter per second. Hence the Relative Velocity Formula can be written as

V(m/s)=vAB(m/s)+VBC(m/s)

Where,

V→ velocity in m/s

vAB → velocity with respect A and B

VBC → velocity with respect B and C

VAC → e velocity with respect A and c

Sample Sums :

sum1 :

Calculate the speed of man with respect to the ground? A train travels with a speed of 90m/s with regards to the ground in the east direction. A spectator is moving with a speed of -20m/s with regards to the train in the west direction.

Solution :

From the problem, it is known that

VBC (velocity of train with respect to ground)=90m/s

vAB (velocity of man with respect to train)=-20m/s

VAC  (velocity of a man with respect to ground)=?

Relative velocity formula is given by

VAC →   =  vAB → + VBC

VAC  →  =  -20+90=70m/s

VAC  →  =70m/s

Sum2 :

Calculate the speed of man with respect to the water? In a boat moves with a speed of 80m/s with respect to water in the east direction. An observer is moving with a speed of -35m/s with respect to the boat in the west direction.

Solution :

The formula is given by

VBC (velocity of boat with respect to water)=80m/s

vAB (velocity of man with respect to boat)=-35m/s

(velocity of a man with respect to water ) VAC =?

Formula for relative velocity is

VAC →   =  vAB → + VBC

VAC →   =-35+80=45m/s

VAC →   =45m/s

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