Rankers Physics
Topic: Kinematics
Subtopic: Relative Motion in Two Dimension

A train moves in north direction with a speed of 54 km/h A monkey is running on the roof of the train, against its motion with a velocity of 18 km/h. with respect to train. The velocity of monkey as observed by a man standing on the ground is :
5 ms–¹ due south
25 ms–¹ due south
10 ms–¹ due south
10 ms–¹ due north

Solution:

To find the velocity of the monkey as observed by a man standing on the ground, we need to add the velocity of the monkey relative to the train to the velocity of the train.

 Given:
- Velocity of the train (north direction) = 54 km/h
- Velocity of the monkey relative to the train (opposite to train's motion) = 18 km/h

Monkey's velocity relative to the ground:
Since the monkey is running against the train’s motion, the monkey's velocity relative to the ground will be:

\[
\vec{v}_{\text{monkey}} = \vec{v}_{\text{train}} - \vec{v}_{\text{monkey relative to train}}
\]

\[
v_{\text{monkey}} = 54 \, \text{km/h} - 18 \, \text{km/h} = 36 \, \text{km/h}
\]

Thus, the velocity of the monkey as observed by a man on the ground is:

\[
{36 \, \text{km/h} \text{ north} or 10 m/s \text{ north}}
\]

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