Distance, Displacement, Speed, and Velocity - Worksheet ... - Free Printable

Problem Analysis:

The image shows a cat traveling from Point K to Point L along a wavy path. The total path length (distance traveled) is given as 700 meters, and the straight-line distance between Point K and Point L is 400 meters. The cat completes this journey in 100 seconds.

We need to answer two questions:
1. What is the cat’s distance?
2. What is the cat’s displacement?

Let us solve each question step by step.

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Question 10: What is the cat’s distance?

#### Definition of Distance:
- Distance is the total length of the path traveled by an object, regardless of direction.
- It is a scalar quantity (has magnitude but no direction).

#### Given Information:
- The total path length traveled by the cat from Point K to Point L is 700 meters.

#### Solution:
The distance traveled by the cat is the total length of the blue wavy line, which is explicitly given as 700 meters.

#### Correct Answer:
$$
\boxed{b) \, 700 \text{ meters}}
$$

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Question 11: What is the cat’s displacement?

#### Definition of Displacement:
- Displacement is the shortest distance between the initial and final positions of an object, along with the direction from the initial to the final position.
- It is a vector quantity (has both magnitude and direction).

#### Given Information:
- The straight-line distance between Point K and Point L is 400 meters.
- The direction of travel is from Point K to Point L, which is to the East (as indicated by the compass in the image).

#### Solution:
The displacement of the cat is the straight-line distance from Point K to Point L, which is 400 meters to the East.

#### Correct Answer:
$$
\boxed{c) \, 400 \text{ meters to the East}}
$$

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Summary of Answers:

1. Q.10: What is the cat’s distance?
$$
\boxed{b) \, 700 \text{ meters}}
$$

2. Q.11: What is the cat’s displacement?
$$
\boxed{c) \, 400 \text{ meters to the East}}
$$

These answers are based on the definitions of distance (total path length) and displacement (shortest straight-line distance with direction).