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Projectile Motion
(2-Dimensional Motion)
2
What is a Projectile…
An object that moves through
the air only under the influence
of gravity after an initial thrust
...
3
Other vocab…
TRAJECTORY – path
of a projectile
The shape of the trajectory is a
PARABOLA
The horizontal distance that...
4
The vertical and horizontal
components of a projectile are
independent of each other.
What does that mean?
5
If 1 ball were dropped and
another ball launched
forward from the same
height, they would hit the
ground at the same ti...
6
Velocity vectors for
projectiles…
Here you see both horizontal
and vertical components of
the velocity vectors
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Horizontally launched cannonball
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Non-horizontally launched cannonball
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Vertical Component
Distance
d = Vit + ½ gt2
*Vi is 0, so it cancels!
d = ½ gt2
Velocity
Vf = Vi + gt *Vi is 0, so i...
10
Horizontal Component
Distance
d = Vt
Velocity
V = d/t
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Working Problems…
When working projectile
problems, draw a picture, label
all information, and list all
GIVENS as eith...
12
Example) A stone is thrown
horizontally at 15 m/s from the top
of a cliff 44 m high.
a) How long does it take
to fall?...
13
Example) A stone is thrown
horizontally at 15 m/s from the top
of a cliff 44 m high.
b) How far from the base of the
c...
14
Example) A stone is thrown
horizontally at 15 m/s from the top
of a cliff 44 m high.
c) What is its vertical speed
whe...
15
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Projectile Motion

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Projectile Motion

  1. 1. 1 Projectile Motion (2-Dimensional Motion)
  2. 2. 2 What is a Projectile… An object that moves through the air only under the influence of gravity after an initial thrust Give examples…
  3. 3. 3 Other vocab… TRAJECTORY – path of a projectile The shape of the trajectory is a PARABOLA The horizontal distance that the projectile travels is the RANGE.
  4. 4. 4 The vertical and horizontal components of a projectile are independent of each other. What does that mean?
  5. 5. 5 If 1 ball were dropped and another ball launched forward from the same height, they would hit the ground at the same time.
  6. 6. 6 Velocity vectors for projectiles… Here you see both horizontal and vertical components of the velocity vectors
  7. 7. 7 Horizontally launched cannonball
  8. 8. 8 Non-horizontally launched cannonball
  9. 9. 9 Vertical Component Distance d = Vit + ½ gt2 *Vi is 0, so it cancels! d = ½ gt2 Velocity Vf = Vi + gt *Vi is 0, so it cancels! V = gt
  10. 10. 10 Horizontal Component Distance d = Vt Velocity V = d/t
  11. 11. 11 Working Problems… When working projectile problems, draw a picture, label all information, and list all GIVENS as either VERTICAL or HORIZONTAL. (T chart) Only time “plays both sides.”
  12. 12. 12 Example) A stone is thrown horizontally at 15 m/s from the top of a cliff 44 m high. a) How long does it take to fall? d = ½ gt2 t = 2.99 s 44m 15m/s
  13. 13. 13 Example) A stone is thrown horizontally at 15 m/s from the top of a cliff 44 m high. b) How far from the base of the cliff does it land? d = Vt d = 45 m d
  14. 14. 14 Example) A stone is thrown horizontally at 15 m/s from the top of a cliff 44 m high. c) What is its vertical speed when it hits the ground? V = gt V = 29.4 m/s
  15. 15. 15

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