Question
Activity 1.1
A man on a train is walking to the back of a train at a speed of
forward at
a) The man’s velocity relative to the train.
b) The train’s velocity relative to the ground.
c) The man’s velocity relative to the ground.
A man on a train is walking to the back of a train at a speed of
forward at
a) The man’s velocity relative to the train.
b) The train’s velocity relative to the ground.
c) The man’s velocity relative to the ground.
Ask by Haynes Love. in South Africa
Jan 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a) The man’s velocity relative to the train is 2 m/s backward.
b) The train’s velocity relative to the ground is 10 m/s forward.
c) The man’s velocity relative to the ground is 8 m/s forward.
Solution
Let’s analyze the problem step-by-step using the concepts of relative velocity.
Given:
- Train’s velocity relative to the ground (
): forward - Man’s velocity relative to the train (
): toward the back of the train
We’ll assume forward is the positive direction.
a) The Man’s Velocity Relative to the Train
This part is directly given in the problem.
- Velocity (
): backward
Since backward is opposite to the positive (forward) direction:
Answer: The man’s velocity relative to the train is 2 m/s toward the rear of the train.
b) The Train’s Velocity Relative to the Ground
This information is provided directly in the problem statement.
- Velocity (
): forward
Answer: The train’s velocity relative to the ground is 10 m/s forward.
c) The Man’s Velocity Relative to the Ground
To find the man’s velocity relative to the ground (
Plugging in the known values:
Answer: The man’s velocity relative to the ground is 8 m/s forward.
Summary of Answers:
a) 2 m/s toward the rear of the train
b) 10 m/s forward
c) 8 m/s forward
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Mind Expander
To solve the problem, let’s break down the information given:
- The man’s speed relative to the train is
(walking towards the back). - The train’s speed relative to the ground is
(moving forward).
a) The man’s velocity relative to the train is simply his speed in the opposite direction of the train’s motion, hence:
b) The train’s velocity relative to the ground is:
c) To find the man’s velocity relative to the ground, we take the train’s velocity and subtract the man’s velocity (since he is moving backwards with respect to the forward movement of the train):
So, the final answers are:
a)
b)
c)
a)
b)
c)
