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A cyclist is moving at 15 m/s towards the east while a car is moving at 25 m/s t

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Question: A cyclist is moving at 15 m/s towards the east while a car is moving at 25 m/s towards the west. What is the relative speed of the cyclist with respect to the car?

Options:

  1. 10 m/s
  2. 15 m/s
  3. 40 m/s
  4. 25 m/s

Correct Answer: 40 m/s

Solution: 

Relative speed = Speed of cyclist + Speed of car = 15 m/s + 25 m/s = 40 m/s.

A cyclist is moving at 15 m/s towards the east while a car is moving at 25 m/s t

Practice Questions

Q1
A cyclist is moving at 15 m/s towards the east while a car is moving at 25 m/s towards the west. What is the relative speed of the cyclist with respect to the car?
  1. 10 m/s
  2. 15 m/s
  3. 40 m/s
  4. 25 m/s

Questions & Step-by-Step Solutions

A cyclist is moving at 15 m/s towards the east while a car is moving at 25 m/s towards the west. What is the relative speed of the cyclist with respect to the car?
Correct Answer: 40 m/s
  • Step 1: Identify the speed of the cyclist, which is 15 m/s towards the east.
  • Step 2: Identify the speed of the car, which is 25 m/s towards the west.
  • Step 3: Understand that when two objects are moving towards each other, their relative speed is the sum of their speeds.
  • Step 4: Add the speed of the cyclist (15 m/s) to the speed of the car (25 m/s).
  • Step 5: Calculate the total: 15 m/s + 25 m/s = 40 m/s.
  • Step 6: Conclude that the relative speed of the cyclist with respect to the car is 40 m/s.
  • Relative Speed – Relative speed is the speed of one object as observed from another object, calculated by adding their speeds when they are moving towards each other.
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