1. Motion in Two Dimensions
Projectile Motion

2. Equations of Motion (Constant a)
We can treat the x and y dimensions _________
The equations are connected by _________

3. Motion in Two Dimensions
Horizontal and vertical motions are ___________
Connected by time 0  v
Fig (Example 3.8), p.68

4. Solving Projectile Motion Problems
____________ motion into horizontal and vertical components
Horizontal: constant vx (ax = _____)
Vertical: freely falling body (ay = _____)
Fig. 3.15, p. 63
Fig. 3.14, p. 62

5. Equations for Projectile Motion
For ax = 0 and ay = −g equations reduce to:

6. Graphs of Projectile Motion

7. Problems where ax ≠ 0 as in Example 3.9 on p. 69.
Caution!! Watch out for…
Problems where initial and final vertical positions are different:
There is no symmetry around the vy = 0 point
Fig. P3.23, p. 78
Fig. P3.58, p. 80
Problems where ax ≠ 0 as in Example 3.9 on p. 69.

8. Shoot the Monkey Demo
Both the monkey and the bullet undergo acceleration due to gravity
t = 0 g
t = x/(v0 cos) y0 y v0  x