1. UNIFORM ACCELERATED
MOTION
©2014 Michael D. Uenking, Instructor
Newport News Shipbuilding Apprentice School

2. Learning Objectives
• Employ velocity and acceleration equations to real world applications
• Discriminate between non-uniform accelerated motion and uniform
accelerated motion
• Recall and apply the fundamental uniform accelerated motion
equations
• Evaluate projectile motion problems using the fundamental uniform
accelerated motion equations
June 2014Michael D. Uenking, Instructor 2
Upon completion of this lesson, the learner will:

3. Definitions and Motion Equations
June 2014Michael D. Uenking, Instructor 3

4. Velocity and Acceleration Example
A family of four decide to go on a vacation, but choose to go on a more
scenic trip instead of taking the interstate. This route has two speed limits,
but yet they are able to complete the entire trip in 3.525 hours. The segment
breakdown is as follows:
Segment 1: constant velocity of 35 mph with a total time of 1.5 hours
Segment 2: increased velocity from 35 mph to 45 mph with a total time of .025 hours
Segment 3: constant velocity of 45 mph with a total time of 2 hours
Calculate the distance traveled in each segment and the total distance
traveled in miles (neglecting Segment 2)
Calculate the acceleration experienced in Segment 2
June 2014Michael D. Uenking, Instructor 4

5. Velocity and Acceleration Example
June 2014Michael D. Uenking, Instructor 5

6. Velocity and Acceleration Example
June 2014Michael D. Uenking, Instructor 6

7. Uniform Accelerated Motion
• In this type of motion, the acceleration is constant/unchanging and the
velocity is increasing/decreasing at a constant rate.
• This condition introduces us to the fundamental equations of motion
(also called the kinematic equations) for constant acceleration (a.k.a.
uniform accelerated motion) with initial velocity, vo, and final velocity, vf.
• We can derive them from our basic acceleration equation by
substituting the initial velocity and final velocity variables into it (and t
for Δt):
June 2014Michael D. Uenking, Instructor 7

8. Fundamental Equations of Motion for
Constant/Uniform Acceleration
June 2014Michael D. Uenking, Instructor 8
For the derivation of these equations, please visit:
http://dev.physicslab.org/Document.aspx?doctype=3&filename=Kinematics_DerivationKinematicsEquations.xml
For the derivation of these equations, please visit:
http://dev.physicslab.org/Document.aspx?doctype=3&filename=Kinematics_DerivationKinematicsEquations.xml

9. Example
June 2014Michael D. Uenking, Instructor 9

10. Application to Freefall
June 2014Michael D. Uenking, Instructor 10

11. Freefall Example
June 2014Michael D. Uenking, Instructor 11
Let’s look at an example:
250m
Given:
y = 250 m, vo = 0 m/s, and g = 9.81 m/s2
Find:
vy and t
Solution:
Solve for vy Solve for t

12. June 2014Michael D. Uenking, Instructor 12

13. June 2014Michael D. Uenking, Instructor 13