Physics: Vector Addition, Projectile Motion, and Kinematics Concepts

Resultant vector starting point

The tail of the first vector

Best scale for drawing vectors

Divide the longest vector by the available space and round up

Angle for vector pointing Northeast

45°

Tail of a vector in drawing

The starting point of the vector

Purpose of resultant vector in head to tail addition

To show the final magnitude and direction from the start of the first to the end of the last vector

Compass reading for 225°

Southwest

Role of a protractor in drawing vectors

To measure angles accurately

Efficient addition of vectors without diagrams

By adding vectors algebraically

Compass angle for East

0°

Common complication in vector addition using diagrams

Difficulty in accurately measuring resultant direction and magnitude

Definition of a vector

A quantity that has both magnitude and direction

Angle for vector pointing Southeast

135°

Illustration of projectile motion

A football kicked in a parabolic path

Reason a horizontally launched projectile hits the ground

Gravity

Displacement in 2-D kinematics

The change in position in a specific direction

Landing of two objects dropped from the same height

Lack of air resistance

Constant component of velocity in 2-D motion

Horizontal component

Importance of launch angle for projectile range

It determines the trajectory and time of flight

Curve traced by a projectile launched at an angle

Trajectory

Linear path

Parabolic path

Circular path

Elliptical path

Trajectory

The path taken by an object in motion

Horizontal velocity of a projectile

It remains constant when air resistance is ignored

Neglecting air resistance in projectile motion

Results in an idealized motion path

Practical application of two-dimensional kinematics

Airplane flight navigation

Factor not affecting projectile time

Object's mass

Impact of increasing launch speed on range

Increases the range

Best angle to kick a football for air time

By analyzing its 45-degree launch trajectory

Overall velocity swimming upstream

1 m/s upstream

Direction to swim across a river with current

North and east

Value that goes to zero at max height

Vertical velocity

Final displacement of a woman walking

30 m NE

Magnitude of displacement walking 3 m east and 4 m north

5 m NE

Total distance traveled walking 3 m east and 4 m north

7 m

Initial velocity of a cannonball

It determines whether or not the cannonball will reach the ship

Adding perpendicular vectors

False

Adding vectors in different directions

True

Sum of two vectors is zero

The vectors point in opposite directions and have the same length

Two vectors of differing lengths can sum to zero

False