1. Projectile Motion and Relative Velocityvw d vB L q vo R h x y
Projectile Motion and Relative Velocity

2. Projectile Motion and Relative Velocity

3. Projectile Motion and Relative Velocity
ax = 0
ay = -g
Projectile Motion and Relative Velocity

4. Projectile Motion and Relative Velocity

5. Projectile Motion and Relative Velocity
Horizontal Velocity and Vertical Velocity y
At t = 0 vo
Constant acceleration q x
Constant velocity
Eq 1
Eq 2
Projectile Motion and Relative Velocity

6. Projectile Motion and Relative Velocity
Horizontal Displacement y
Constant velocity vo q x
Sub
Eq 1
Eq 3
Projectile Motion and Relative Velocity

7. Projectile Motion and Relative Velocity
Vertical Displacement y
Constant acceleration vo q x
Eq 4
Projectile Motion and Relative Velocity

8. Projectile Motion and Relative Velocity
Vertical Position as a Function
of Horizontal Displacement y vo h
Solve
Eq 3 for t q x
Sub into Eq 4
Eq 5
Projectile Motion and Relative Velocity

9. Projectile Motion and Relative Velocity
Maximum Height y vo h q x
Sub into Eq 4
At the maximum
height (vy = 0)
Eq 6
Eq 7
Projectile Motion and Relative Velocity

10. Projectile Motion and Relative Velocity
Range q vo R h x y
Eq 8
Projectile Motion and Relative Velocity

11. Projectile Motion and Relative Velocity
Equations
Eq 1
Horizontal
Velocity
Eq 2
Vertical
Velocity
Eq 3
Horizontal
Displacement
Eq 4
Vertical
Displacement
Projectile Motion and Relative Velocity

12. Projectile Motion and Relative Velocity
Equations
Eq 5
Vertical
Position
Eq 6
Time to
the Top
Eq 7
Maximum
Height
Eq 8
Range
Projectile Motion and Relative Velocity

13. d vw L vB vw vB vS Relative Velocity
Projectile Motion and Relative Velocity

14. vw L vB vS q Relative Velocity Time required to go directly across.
Projectile Motion and Relative Velocity

15. END