Fire Away!!!1-2-3 Ground Launched Projectiles

What is a projectile?

• A flying object with no means of propulsion after its launch.

• Can be launched with any VELOCITY and at ANY ANGLE

• May be subjected to AIR RESISTANCE

Initial velocity

30°

What is the horizontal part ofthe soccer ball’s initial velocity?

vix = vi cos θ

What is the vertical part ofthe soccer ball’s initial velocity?

viy = vi sin θ

12 m/s6 m/s

10.4 m/s

What assumptions can we make?

Horizontal

• Initial velocity = vi cos θ

• Acceleration = 0

Vertical

• Initial velocity = vi sin θ

• Acceleration = -9.81 m/s2

• Vertical speed = 0 at top

Projectile Vector Diagram

t1/2 vfy = 0 (at top)

x y

a = 0 a = -9.81 m/s2

vi = vi cos θ vi = vi sin θ vf = 0 (at top)

ttot = 2t1/2

ttot