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Chapter 2

- Uniformly Accelerated Motion

Speed

Velocity

Acceleration

What are the units for acceleration?

Uniformly Accelerated Motion Along a Straight Line

- In this case
- acceleration is a constant
- and the acceleration vector lies in the

line of the displacement vector.

The 5 Equations!

(1)

(2)

(3)

(4)

(5)

Problem Solution Guidelines

- Draw a sketch
- Indicate origin and positive direction
- List the given quantities using the symbols of

the equations. (si, vi, a) - Is time known or do we need to find it?
- What are we to solve for?
- Write the general equations of kinematics

More Guidelines

- Rewrite the general equations using the known

quantities. - Look at the knowns and unknowns and map a

strategy of solution. - Check your units
- Make sure you are answering the question.

Problem Solution Time

- Fifteen minutes

Definitions

- Instantaneous Velocity
- the slope of the displacement versus time graph
- Instantaneous Acceleration
- the slope of the velocity versus time graph

Slopes

Displacement

Time

Teaming Exercise

- Next Problem solutions

Free Fall

- The force of gravity points downward
- Acceleration of gravity near the surface of Earth

is called g 9.8 m/s2 32.1 ft/s2 - Air resistance ignored
- We have then the conditions of one-dimensional

kinematics straight line motion with constant

acceleration.

Sample Problem

- A ball is thrown vertically upward at 10 m/s.

How high will it get, how long will it be in the

air, and how fast will it be moving when it hits

the ground.

Projectile Problems Two Dimensional Kinematics

- Ignore air resistance.
- ax 0
- ay g 9.81 m/s2 downward

The motions in the two directions are independent

Horizontal

Vertical

Real Motion is the Combination of the Two

2-D Problem Guidelines

- Set up two 1-D solutions
- Origin x Origin y
- Positive x Positive y
- xi yi
- vxi vyi
- ax 0 ay g

2-D Guidelines Contd

- Write general kinematic equations for each

direction - Rewrite them for the problem at hand
- Find the condition that couples the motions

(usually time)

Uniformly Accelerated Motion Along a Straight Line

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