# Lecture 25 - Projectile-Related Activities Flashcards

How can you determine the parabolic path of an airborne object?

- determined by the takeoff
- speed (how fast it is going) and direction (angle of release) at takeoff change what the parabola will look like

what is the velocity vector?

- the direction at which the projectile is going
- can be split into horizontal and vertical vector components

what is the vertical vector component?

- how high the projectile is going
- affected by gravity

what is the horizontal vector component?

- how far the projectile is going
- not affected by gravity
- stays the same the whole time

when is the vertical vector equal to zero?

- at the peak of the parabola (R=H)
- where R = changes in resultant

what is the best trade/ maximum horizontal distance?

- throwing at 45 degrees

what is air resistance?

- the drag force to the projectile related to the speed squared
- how much force is required for the air to split and reform after the projectile
- affects both horizontal and vertical velocity

what would the projectile parabola look like if air resistance was not present?

- would be symmetrical (if started and landed on a surface at the same level)

how can you calculate the max height of a projectile when air resistance is not present?

- height = (v vert)^2 / 2g
- where v vert = vertical component of takeoff velocity
- where g = acceleration due to gravity

how can you maximize height if the projectile is your body?

- “rearrange” body segments to get our center of mass higher
- ## the lower on your body the center of mass is, the higher you can reach (because the center of mass will rise the same amount)

how is height maximized in pole vaulting?

- the bending of the pole converts horizontal speed to vertical speed (this is a special case)

how can you maximize horizontal distance?

- distance = v horizon x t
- where v horizon = horizontal component of takeoff velocity
- where t = amount of time spent in the air
- 2 angles will result in the same horizontal trajectory (one more vertical throw and one more horizontal throw) except for 45 degrees which is peak

how can you find t?

- found from the vertical component (calculate peak)

how does height affect max horizontal distance?

- for the same horizontal takeoff component, starting higher will give a greater horizontal distance

how does speed affect max horizontal distance?

- for the same takeoff height, a faster horizontal component will give a larger horizontal distance