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Chapter 3: Problem 9

You're in a bus moving with constant velocity on a level road when you throw a ball straight up. When the ball returns, does it land ahead of you, behind you, or back at your hand? Explain.

Short Answer

Expert verified
The ball lands back at your hand. This is due to the principle of relative motion, which dictates that the ball maintains the horizontal ('forward') speed of the bus when thrown upwards.

Step by step solution

01

Identify the Phenomena

The exercise involves an object that is thrown upwards in a vehicle moving with a constant speed. The object is subject to the laws of physics, in particular the principles of relative motion.
02

Understand the Principle of Relative Motion

According to the principle of relative motion, when an object is moving in a certain direction, all other movements are measured with respect to that movement. This means that if a person in a moving bus throws a ball straight up, the ball will retain the forward movement of the bus.
03

Apply the Principle to the Scenario

So, when the ball is thrown straight up in the air in a moving bus, the ball maintains the horizontal motion ('forward movement') of the bus along with its own vertical motion.
04

Conclude

Given that the bus is moving at a constant velocity, we can say that by the time the ball falls back down, the bus has not changed its position relative to the thrower. Therefore, the ball would land back into the thrower's hand.

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