Displacement and Vector Analysis

The video tutorial explains Keita's three-day journey into the jungle, focusing on displacement vectors. It breaks down his daily movements in terms of east and north directions, calculates the total displacement by summing vectors, and uses the Pythagorean theorem to find the magnitude and direction of the total displacement. The tutorial also covers how to determine the angle of displacement using trigonometry.

What is a displacement vector?

• A vector that only shows distance

• A vector that shows speed and time

• A vector that shows both distance and direction

• A vector that only shows direction

On the first day, how far did Keita travel in the east direction?

• 5 kilometers

• 6 kilometers

• 7 kilometers

• 8 kilometers

How many kilometers did Keita travel north on the second day?

• 4 kilometers

• 2 kilometers

• 1 kilometer

• 3 kilometers

What is the total eastward displacement after three days?

• 18 kilometers

• 12 kilometers

• 15 kilometers

• 10 kilometers

What is the total northward displacement after three days?

• 17 kilometers

• 19 kilometers

• 21 kilometers

• 15 kilometers

Which theorem is used to calculate the magnitude of the total displacement?

• Pythagorean theorem

• Newton's theorem

• Einstein's theorem

• Archimedes' theorem

What is the magnitude of Keita's total displacement rounded to the nearest tenth?

• 24.2 kilometers

• 23.8 kilometers

• 25.6 kilometers

• 22.5 kilometers

What is the angle of Keita's displacement relative to the east direction?

• 45 degrees

• 50 degrees

• 55 degrees

• 52 degrees

Which trigonometric function is used to find the angle of displacement?

• Sine

• Cosine

• Cotangent

• Tangent

What is the opposite side length in the right triangle used to find the angle of displacement?

• 15

• 17

• 19

• 21