Average Acceleration
Ck12 Science
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Printed: August 13, 2015
AUTHOR
Ck12 Science
www.ck12.org
C HAPTER
Chapter 1. Average Acceleration
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Average Acceleration
• Define average acceleration.
• Understand the mathematical relationship between initial velocity, acceleration, time, and final velocity.
To escape from Earth’s orbit, space shuttles such as the Atlantis shown here must accelerate to 28,968 kilometers
per hour, called the shuttle’s escape velocity.
Average Acceleration
An object whose velocity is changing is said to be accelerating. Average acceleration, a is defined as the rate of
change of velocity, or the change in velocity per unit time. The units of acceleration are distance over time squared.
A symbol with a bar over it is read as average – so a-bar is average acceleration.
Example: A car accelerates along a straight road from rest to +60.0 km/h in 5.00 s. What is the magnitude of its
average acceleration?
Solution:
The acceleration in this problem is read as kilometers per hour per second. In general, it is undesirable to have
two different units for the same quantity in a unit expression. In this case, it is undesirable to have both hours and
seconds. To eliminate this problem, we convert the hour units to seconds. Converting the original 60.0 km/h to m/s,
gives 17.0 m/s.
17.0 m/s
5.00 s
= 3.40 m/s2
The acceleration is 3.40 m/s2 .
Example: An automobile is moving along a straight highway in the positive direction and the driver steps on
the brakes. If the initial velocity is +15.0 m/s and 5.0 s is required to slow down to +5.0 m/s, what was the car’s
acceleration?
Solution:
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a=
∆v
∆t
=
−10.0 m/s
5.0 s
= −2.0 m/s2
Note that an acceleration is merely a change in velocity. This change can be either positive or negative. A negative
change, such as that in the example problem above, is sometimes called negative acceleration or deceleration.
Summary
• Average acceleration is the rate of change of velocity, or the change in velocity per unit time.
Practice
Complete the activity found at this URL to help you understand acceleration.
http://www.physicsclassroom.com/mmedia/kinema/acceln.cfm
Review
Questions
1. The velocity of a car increases from +2.0 m/s to +16.0 m/s in a time period of 3.5 s. What was the average
acceleration?
2. If an automobile slows from +26 m/s to +18 m/s in a period of 4.0 s, what was the average acceleration?
3. If a runner increases his velocity from 0 m/s to +20 m/s in 2.0 s, what was his average acceleration?
4. If a runner decreases his velocity from +20 m/s to +10 m/s in 2.0 s, what was his average acceleration?
• average acceleration: The change in velocity over the change in time.
References
1. Courtesy of NASA. http://spaceflight.nasa.gov/gallery/images/shuttle/sts-125/html/sts125-s-025.html .
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