Type II Projectiles Type II Projectile Motion Projectile

Type II Projectiles

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.

Type II Projectile Motion • How do Type II problems differ from Type I problems?

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

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: a) Max height of ball’s path b) hangtime c) range d) impact velocity

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

Type II Projectile Motion For a given initial speed, what angle gives maximum range? 1, 2 1 0, 8 sin 0, 6 cos product 0, 4 0, 2 0 0 20 40 60 80 100

Commit to Memory You’re expected to know the following characteristics of Type II Projectile problems for tests, quizzes, the final, etc. • Δtup = Δtdown

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

Commit to Memory You’re expected to know the following characteristics of Type II Projectile problems for tests, quizzes, the final, etc. • 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

Commit to Memory You’re expected to know the following characteristics of Type II Projectile problems for tests, quizzes, the final, etc. • 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.

Type II assignment • WS • QUEST