1. Projectiles Launched at an Angle

2. Projectiles Launched at an Angle (in general)X Y d=
vi= vcosθ
vi= vsinθ
vf=
a= 0
a=-9.8m/s2 t=

3. Maximum Height X Y d= vi= vcosθ vi= vsinθ vf= vcosθ vf= 0 a= 0
a=-9.8m/s2 t=
vertical speed = 0 θ

4. Problem #1 X Y d= vi= 30cos35 vi= 30sin35 vf= 30cos35 vf= 0 a= 0
What is the maximum height above the ground reached by a cannonball shot at 30 m/s in a direction 35 degrees above the ground? X Y d=
vi= 30cos35
vi= 30sin35
vf= 30cos35
vf= 0
a= 0
a=-9.8m/s2 t=
30 m/s
35º

5. Displacement in the y direction is zero
Horizontal Range X Y d=
d= 0
vi= vcosθ
vi= vsinθ
vf= vcosθ
vf= -vsinθ
a= 0
a=-9.8m/s2 t=
Displacement in the y direction is zero θ
vertical speed = negative of original

6. Problem #2 X Y d= d= 0 vi= 30cos35 vi= 30sin35 vf= 30cos35
What is the maximum horizontal range reached by a cannonball shot at 30 m/s in a direction 35 degrees above the ground? X Y d=
d= 0
vi= 30cos35
vi= 30sin35
vf= 30cos35
vf= -30sin35
a= 0
a=-9.8m/s2 t=
30 m/s
35º