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Answers
Question :
A highway rod runs north-south. A bus moves north with a speed of 60 kmph. A car moves south with a speed of 80 kmph. Find,
(i) Relative velocity of car wrt bus
(ii) Relative velocity of bus wrt car
Given :
Speed of bus = 60 kmph
Speed of car = -80 kmph
[Here negative sign shows that car is moving in the opposite direction wrt bus.]
To Find :
Relative velocity of car wrt bus and relative velocity of bus wrt car.
Solution :
★ Relative velocity of object 1 wrt object 2 is given by
- V₁₂ = V₁ - V₂
★ Relative velocity of object 2 wrt object 1 is given by
- V₂₁ = V₂ - V₁
Where V₁ and V₂ are the velocities wrt the ground.
» When the object 1 and 2 move in the same direction, V₁₂ = V₁ - V₂
» When the object 2 moves in the opposite direction of 1, V₁₂ = V₁ + V₂
♦ Relative velocity of car wrt bus :
♦ Relative velocity of bus wrt car :
Explanation: