1. Two Dimensional Motion
This unit investigates the motion of projectiles, objects traveling in simple parabolas.
Understanding vectors is very important here
Text Pages:
(we will ignore air resistance in this unit)

2. Projectile Motion Projectiles have:
X motion (vectors)
Y motion (vectors).
Vertical motion is simple freefall.
Horizontal motion has constant velocity.
(gravity only sees in the vertical direction)
Trajectories are parabolas.
ax = 0
vx = constant
ay = - 9.8m/s2
vy = at
At time t, the object here has traveled .5gt2 down and vt across.

3. Projectile Motion Vertical motion is simple freefall. ay = - 9.8m/s2
Horizontal motion has constant velocity.
(gravity only acts in the vertical direction)
ay = - 9.8m/s2
vy = at
ax = 0
vx = constant

4. Ground - Launched Projectiles
Suppose an artillery piece fires a shell from the ground with a velocity vi and angle θ.
Can we figure the shell’s…
final velocity (Vf)?
flight time (2t) ?
maximum range (dx)?
maximum height (dy)?
(what goes up…)
Ground - Launched Projectiles vi θ

5. Trajectory Angle
θ = 900
At what angle would we launch a projectile to achieve…
Greatest flight time?
Greatest height?
Greatest range?
θ = 900
θ = 450

6. The Cliff (kinda like the coins)
We fire a cannonball off a cliff with an initial velocity of 8 m/s

7. The Bomber
The Truck