Physics Kinematics: Motion in a Straight Line - Algebraic Vector Addition and Subtraction

This video tutorial covers the algebraic addition and subtraction of two-dimensional vectors. It explains how to solve vector problems using the algebraic method, also known as the trigonometric method, and emphasizes the importance of understanding right-angled trigonometry. The tutorial includes a practical example involving displacement vectors and another example analyzing forces on a pallet. Key concepts such as vector components, resultant vectors, and the use of trigonometric functions are discussed. The video concludes with a summary of the main points covered.

What is a resultant vector?

• A vector that is perpendicular to another vector

• A vector that is equal to the difference of two vectors

• A vector that is equal to the sum of two or more vectors

• A vector that has no direction

Which trigonometric function is used to find the angle of a resultant vector?

• Tangent

• Secant

• Cosine

• Sine

In the vector addition example, what is the net displacement in the North direction?

• 1058 meters West

• 1139 meters North

• 1139 meters South

• 1058 meters East

What is the bearing of the resultant vector in the displacement example?

• 250 degrees

• 223 degrees

• 70 degrees

• 43 degrees

What is the force exerted by gravity on the pallet?

• 2.2 kilonewtons

• 4.6 kilonewtons

• 3.4 kilonewtons

• 1.3 kilonewtons

How is the tension force in the cable calculated?

• By dividing the pull and weight forces

• By multiplying the pull and weight forces

• By subtracting the pull and weight forces

• By adding the pull and weight forces

What is the horizontal component of the tension force?

• 1222 newtons down

• 1222 newtons up

• 445 newtons right

• 445 newtons left

What is the magnitude of the tension force?

• 3400 newtons

• 4640 newtons

• 445 newtons

• 4622 newtons

What does the Greek letter capital Sigma represent in physics?

• The sum of vectors

• The product of vectors

• The division of vectors

• The difference of vectors

What is the first step in algebraically adding 2D vectors?

• Use Pythagoras' theorem

• Calculate the net vector for each direction

• Resolve each vector into perpendicular components

• Join vectors head to tail