1. Type II Projectiles

2. Type II Projectile Motion
Projectile motion in which launch angle is above the horizon and the projectile lands at the same altitude as it was launched.
Example: A golf ball driven from the tee box without the use of a tee lands on the green; the green has the same elevation as the tee box.

3. Type II Projectile Motion
For a given initial speed, what angle gives maximum range?

4. Type II Projectile Motion
For a given initial speed, what angle gives maximum range?

5. Commit to Memory
You’re expected to know the following characteristics of Type II Projectile problems.
Δtup = Δtdown

6. Commit to Memory
You’re expected to know the following characteristics of Type II Projectile problems.
Δtup = Δtdown
vy = 0 at top of trajectory (zenith); note that v ≠0!

7. Commit to Memory
You’re expected to know the following characteristics of Type II Projectile problems.
Δtup = Δtdown
vy = 0 at top of trajectory (zenith); note that v ≠0!
The magnitude of vimpact = the magnitude of vinitial angles are opposite sign

8. Commit to Memory
You’re expected to know the following characteristics of Type II Projectile problems.
Δtup = Δtdown
vy = 0 at top of trajectory (zenith); note that v ≠0!
The magnitude of vimpact = the magnitude of vinitial; angles are opposite sign (below vs. above horizontal)
Maximum range is achieved with a 45° angle.

9. Type II Projectile Motion
How do Type II problems differ from Type I problems?

10. Solving Type II
Draw a VELOCITY vector triangle to find the components of the launch velocity
Set up x and y lists
Solve

11. Type II Projectile Motion – Sample Problem
A golf ball is driven from level ground with an initial velocity of 40 m/s at an angle of 30° above the horizon.
Find:
Max height
of ball’s path
b) hangtime
c) range
d) impact velocity