Questions: 1. Sketch a position-time graph representing a cart at rest on a table. 2. Sketch a position-time graph representing a cart that starts fast but slows to a stop.

1. Sketch a position-time graph representing a cart at rest on a table.
2. Sketch a position-time graph representing a cart that starts fast but slows to a stop.

Transcript text: 1. Sketch a position-time graph representing a cart at rest on a table. 2. Sketch a position-time graph representing a cart that starts fast but slows to a stop.

Solution

Solution Steps

Step 1: Sketch a position-time graph representing a cart at rest on a table

A cart at rest means its position does not change over time.
The graph will be a horizontal line indicating constant position.

Step 2: Determine if the cart is moving left or right

The given graph shows a position-time graph with a negative slope.
A negative slope indicates that the position is decreasing over time, meaning the cart is moving to the left.

Step 3: Determine how you know the cart is moving at constant speed

The given graph is a straight line with a constant negative slope.
A straight line on a position-time graph indicates constant velocity.
Therefore, the cart is moving at a constant speed.

Final Answer

The position-time graph for a cart at rest is a horizontal line.
The cart is moving to the left.
The cart is moving at a constant speed because the position-time graph is a straight line with a constant slope.

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