#### Transcript of Projectile Motion

**Projectile Motion**

**Kinematics**

Free Fall

a = g = -9.8 m/s/s

Motion in Two Dimensions

Horizontal Launch

Launch at an Angle

(Range)

Impact

No motion in the horizontal direction

Vf is just before impact

Vertically:

Dropped Vo = 0

Launched straight down Vo = negative

Break Vo into horizontal and vertical velocity components

Vertically a = - 9.8 m/s/s

Horizontally a = 0

(v is constant and = Vox)

At the Maximum height, V = 0 in the vertical direction

Time to travel vertically is the same as the time to travel horizontally

If the projectile launches and lands at the same height, the vertical change in position is zero.

The projectile spends half the time in the air going up and the other half going down

Horizontally V is constant so a = zero

Vertically:

Vo is zero

a = -9.8 m/s/s

is negative

Horizontal

**Vertical**

Horizontal

time in the vertical and horizontal direction are equal

Trajectory

Launched straight up: Vo is Positive

a = g = -9.8 m/s/s

At Maximum Height V is 0

No motion in the horizontal direction

Example

Example

Example

Example

Example

Example

Full transcript