Vectors In 2-dimensions And Projectile Motion

Question 1

Vector diagram

Answer 1

Point of origin=tail, terminal point= tip, length of line segment depends on the vectors magnitude. Draw connecting vectors from tip to tail
Can only add vectors representing the same types of quantities

Question 2

Reference Coordinate

Answer 2

Establish positive and negative, where you are going OF where you’re coming from

Question 3

Collinear

Answer 3

Along the same straight line, either in the same or in opposite directions

Question 4

Resultant vector

Answer 4

A vector drawn from the tail of the first vector to the top of the last vector
Change in d= dfinal-dinitial

Question 5

Components

Answer 5

Perpendicular parts into which a vector can be separated (diagonal motion)

Question 6

Polar Coordinates method

Answer 6

Positive x axis is at 0 degrees, angles measured by moving counterclockwise about the origin

Question 7

Navigator method

Answer 7

Uses compass bearings north, south, east, and west to identify vector directions. To draw this vector, start with the second compass bearing you are given in brackets then move __degrees in the direction of the first compass bearing you are given

Question 8

Non-collinear

Answer 8

Vectors that are not along the same straight line, determine magnitude/direction of the sum of 2 or more non-collinear vectors graphically.
To find displacement in 2 dimensions add the 2 position vectors

Question 9

Steps for adding non-collinear vectors graphically

Answer 9

1. Create appropriate time
2. Choose a set of reference coordinates
3. Draw vector 1 to scale
4. Draw vector 2 to scale (tip to tail)
5. Draw resultant vector
6. Measure magnitude and direction of the resultant from its tail
7. Use scale to convert magnitude of resultant to original units
8. state resultant vector(magnitude and direction)

Question 10

Determining Components

Answer 10

c^2=a^2+b^2

SOHCAHTOA

Question 11

Adding vectors using components

Answer 11

Write the magnitude of any 2 dimensional vector as the sum of its x and y components (perpendicular)
A change in one component does not affect the other component
Use Pythagorean theorem, use inverse tan function to find the angle

Question 12

Steps for adding non-collinear vectors algebraically

Answer 12

1. Determine x and y components of each vector
2. Add all components in the x direction, add all components in the y direction (sums of x and y components are the 2 components of resultant vector)
3. Find magnitude of resultant vector(pythagorean theorem), and angle using trigonometric ratios

Question 13

Relative motion

Answer 13

Motion measured with respect to an observer

Question 14

Ground velocity

Answer 14

Velocity relative to an observer on the ground

Question 15

Air velocity

Answer 15

An objects velocity relative to still air

Question 16

Wind velocity

Answer 16

Velocity of the wind relative to the ground

Question 17

relative motion in water

Answer 17

Water craft and swimmers experience currents, can move with current (ground velocity increases), against current (ground velocity decreases), or at an angle (ground velocity can increase or decrease)
*object moves at an angle to current both objects speed and direction change

Question 18

Trajectory

Answer 18

The parabolic motion of a projectile, depends on initial velocity and the acceleration due to gravity. Consider horizontal (x direction) and vertical ( y direction)
Are independent of each other, gravity has no effect on objects horizontal motion

Question 19

Horizontal motion

Answer 19

Of a projectile is uniform motion, velocity component is constant

Question 20

Vertical motion

Answer 20

Of a projectile is uniformly accelerated motion, acceleration is constant due to gravity (9.81m/s^2 down)

Question 21

Range

Answer 21

Distance a projectile travels horizontally over level ground

Question 22

X direction of projectile

Answer 22

No acceleration, undergoes uniform motion. Initial x velocity usually Vicos0
Range is initial x velocity times time
Time is the same in both x And y directions

Question 23

Y direction of a Projectile

Answer 23

Acceleration (-9.81m/s^2), initial velocity is usually Vi sin0. Displacement is Viyt+1/2at^2
Time is same in both x and y directions
projectiles velocity is greatest at the instant of launch and just before impact, max height velocity =0