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Kinematics Equations

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Kinematics Equations

Just what you have been waiting for…more math!

What are the four ways we can describe motion?

- With words
- With graphs
- With diagrams
- With equations

- Remember that the basis for all equations is some sort of graphed experimental data
- The concept of slope = (rise/run) gives us the equations

- d = distance
- Measured in meters (m)

- v = velocity
- Measured in meters/second (m/s)

- a = acceleration
- Measured in (meters/second)/second (m/s2)

- t = time
- Measured in seconds (s)

- Draw a picture of what is happening
- Underline important information in the problem
- Make a list of known variables
- Make sure variables are in the correct units
- Choose equation(s) that fits known variables
- Solve equations
- Double check answer – does it make sense?

A car accelerates uniformly from rest to a speed of 17.8 m/s in 12 s.

- What is the distance the car travels in this time?
- What is the acceleration of the car?

Given:

- v0 = 0 m/s
- vf = 17.8 m/s
- t = 12 s
Trying to find:

- d = ?
- a = ?

- Equation:
- d = do + ½(vo + v)t

- Solve:
- d = 0 + ½(0 +17.8)(12)
- d = 106.8 m

- Equation:
vf2 = vo2 + 2ad

- Solve:
- (17.8)2 = 02 + 2(a)(106.8)
- a = 1.48 m/s2

- A jet flying at 522 km/hr is accelerated at the rate of 23.1 m/s2 for 20.0 s.
- What is its final velocity?
- What distance does the plane cover during this time?

Given:

- v0 = 522 km/hr
- t =20.0 s
- a = 23.1 m/s2
Trying to find:

- vf = ?
- d = ?

Equation:

vf = vo + at

- Solve:
- vf = (145 ) + (23.1)(20.0)
- vf =607 m/s

- Equation:
vf2 = vo2 + 2ad

- Solve:
- (607)2 = (145)2 + 2(23.1)(d)
- d = 7520 m

- In your lab notebook:
- Lunchroom Walk Lab
- Inclined Plane Lab

- Homework so far:
- Metric Conversion WS

- Chapter 5
- #15, 16, 20, 28, 35, 44, 46, 49, 55, 59, 62
- Remember to follow the problem solving steps I showed you previously
- Show all work and label all answers!