Question:
Two cars move in the same direction with velocities \(20\ \text{m/s}\) and \(30\ \text{m/s}\). The velocity of one car relative to the other is:
Two cars move in the same direction with velocities \(20\ \text{m/s}\) and \(30\ \text{m/s}\). The velocity of one car relative to the other is:
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For same direction, relative velocity is the difference of velocities. For opposite direction, relative velocity is the sum of velocities.
Updated On: Jun 3, 2026
- \(50\ \text{m/s}\)
- \(10\ \text{m/s}\)
- \(25\ \text{m/s}\)
- \(30\ \text{m/s}\)
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The Correct Option is B
Solution and Explanation
Concept:
When two bodies move in the same direction, their relative velocity is the difference of their velocities.
Step 1: Write the velocities.
Velocity of first car: \(\displaystyle v_1=20\ \text{m/s}\) Velocity of second car: \(\displaystyle v_2=30\ \text{m/s}\)
Step 2: Find relative velocity.
Since both cars are moving in the same direction: \(\displaystyle v_{\text{relative}}=|v_2-v_1|\) \(\displaystyle =|30-20|\) \(\displaystyle =10\ \text{m/s}\)
Step 3: Final conclusion.
Hence, the velocity of one car relative to the other is: \(\displaystyle \boxed{10\ \text{m/s}}\)
When two bodies move in the same direction, their relative velocity is the difference of their velocities.
Step 1: Write the velocities.
Velocity of first car: \(\displaystyle v_1=20\ \text{m/s}\) Velocity of second car: \(\displaystyle v_2=30\ \text{m/s}\)
Step 2: Find relative velocity.
Since both cars are moving in the same direction: \(\displaystyle v_{\text{relative}}=|v_2-v_1|\) \(\displaystyle =|30-20|\) \(\displaystyle =10\ \text{m/s}\)
Step 3: Final conclusion.
Hence, the velocity of one car relative to the other is: \(\displaystyle \boxed{10\ \text{m/s}}\)
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