Welcome Back

1

• Welcome Back!!!
• Please start by discussing In a vacuum, one
  ball is dropped while another is fired
  horizontally. Which ball hits the ground first?
  Which hits with the greatest speed?

2

• Todays Agenda
• HW Questions?
• Lesson Projectiles launched at angles
• Example problems

3

• Learning Goal
• Students will be able to
• - Explain similarities and differences between
  problems involving projectiles launched
  horizontally and those launched at angles.
• - Solve problems involving projectiles launched
  at angles.

4

• Angled Launch
• The only real difference between projectiles
  launched horizontally versus at angles is the
  initial velocity stuff.
• For horizontally-launched projectiles
• vx vox vo
• voy 0m/s

5

• Angled Launch
• - For angled-launched projectiles

vo
voy vosinq
q
vox vocosq
6

• Example Problem 9 (modified)
• A ball is launched from a cliff at an initial
  angle of 35o to the horizontal, at a speed of
  30m/s. How far has it fallen by the time it has
  moved 200m in the horizontal direction?

7

• Example Problem 9 (modified)
• Horiz
• v vocosq 30cos35o 24.57m/s
• x 200m
• t x/v 200/24.57 8.14s

8

• Example Problem 9 (modified)
• Vert
• t 8.14s
• vo vosinq 30sin35o 17.21m/s
• a -9.8m/s2
• x ?
• x vot ½at2 -184.6m