MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
Taylor Ripke PowerPoint Part One
1.
2. Mechanics- Study of Motion
Kinematics- Mechanics of Objects
**Assume no rotation**
Ex. Cars, Atoms, Planes
3. Position Vector – Where it is
Denoted by: r
Changes as a function of time
r = r (t)
4. Definition: Difference between final
position vector and initial position vector
Δr = r2 – r1
Δr means “difference or change in”
5. **Not the same as Displacement**
Recall displacement- how far from origin
Definition: Absolute value of the displacement
vector
“How far you’ve traveled”
Δr = |r1| + |r2|
6. Your dorm room is located 0.25 mi from the dairy
store. You walk from your room to the Dairy Store and
back. Which of the statements is true:
a) The distance is 0.5 mi and displacement is 0.5 mi.
b) The distance is 0.5 mi and displacement is 0.0 mi.
c) The distance is 0.0 mi and displacement is 0.5 mi.
8. If ri = rf, displacement is 0.
Displacement = How far from origin
Distance = Total ground covered
9. Average velocity – Vx =
Δ푥
Δ푡
Instantaneous velocity – V =
푑푟
푑푡
Speed – absolute value of velocity
Velocity – a vector with direction
**Speed is never negative**
10. Speed = |v| = |vx|
Average speed = v =
푙
Δ푡
“푙” being distance
11. Suppose a swimmer completes the first
50m of the 100m freestyle in 38.2s. She
then turns around and swims back in 42.5s.
Question: What is the average velocity and
average speed for the first leg?
13. Average acceleration – defined as the
velocity change per time interval
ax =
Δ푉푥
Δ푡
Instantaneous acceleration – defined as
the limit of the average acceleration as the
time interval approaches 0.
15. I. 푥 = 푥0 + 푉푥0푡 +
1
2
푎푥 푡2
II. 푥 = 푥0 + 푉푥 t
III. 푉푥 = 푉푥0 + 푎푥 푡
IV. 푉푥 =
1
2
푉푥 + 푉푥0
2 = 푉푥0
V. 푉푥
2 + 2푎푥 (푥 − 푥0)
16. Assuming a constant acceleration
of ax = 4.3 m/s2, starting from rest,
what is the airplane’s take off
velocity after 18.4s?
17. I. 푉푥= 푉푥0 + 푎푥 푡 Find an equation
II. 푉푥0 = 0, At Rest
III. 푎푥 = 4.3푚
푠 Acceleration
IV. 푡 = 18.4푠 Time
V. 푉푥 = 4.3 푚
푠 18.4푠 = 79.12 푚
푠
18. Displacement – how far from origin
Distance – how far you’ve traveled
Velocity – vector with direction
Speed – absolute value of velocity
Acceleration – velocity change with time
19. • Campus Party Brasil, “Michio Kaku” February
11, 2012 via Flickr, Attribution-ShareAlike
• Ed Schipul, “Bill Nye” October 21, 2010 via
Flickr, Attribution-ShareAlike
• Bauer, W., & Westfall, G. (2014). University
physics (Second ed.). New York, NY: McGraw-
Hill.