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Acceleration. If you remember, Velocity is a speed in a specific direction.Acceleration is a measure of how quickly the velocity is changing.If velocity does not change, there is no acceleration. Examples. What are some examples of situations in which velocity changes?A roller coaster car going
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1. Acceleration The rate at which velocity changes with time
2. Acceleration If you remember, Velocity is a speed in a specific direction.
Acceleration is a measure of how quickly the velocity is changing.
If velocity does not change, there is no acceleration
3. Examples What are some examples of situations in which velocity changes?
A roller coaster car going through a loop
A ball being thrown in the air and then dropping down, hitting the ground and bouncing again
4. Acceleration Most people think of acceleration as speeding up
In physics it just means theres a change in velocity.
A bicycle slowing down at a stop sign is accelerating
Someone running around a corner at a constant speed is accelerating because her direction is changing which is a change in her velocity
5. Acceleration and Direction Acceleration is a vector, it has size and direction (like velocity)
The direction of the acceleration determines whether an object will slow down, speed up or turn
Acceleration in the same direction as motion means in increase in speed
Acceleration in the opposite direction of motion means a decrease in speed or negative acceleration
Acceleration at a right angle to motion means a change in direction but not speed
6. Calculating Acceleration To calculate acceleration you need to know how velocity changes with time
Find change in velocity by comparing the initial velocity and final velocity of the moving object
The time interval over which the velocity changes is measured Acceleration = final velocity - initial velocity
time
A = v final v initial
t
7. ExampleAugie starts snowboarding with a velocity of 1 m/s. After 3 s, his velocity is 7 m/s. What is his acceleration? Initial velocity = 1m/s
Final velocity = 7 m/s
Time = 3 s
A = v final v initial
t
A = 7 m/s 1 m/s 6 m/s = 2m/s2
3 s 3 s
a = 2 m/s2
8. Practice A man walking at 0.5 m/s accelerates to a velocity of 0.6 m/s in 1 s. What is his acceleration?
0.6 m/s 0.5 m/s = 0.1 m/s2
1 s
A train traveling at 10 m/s slows down to a complete stop in 20 s. What is the acceleration of the train?
0 m/s 10 m/s = -0.5 m/s2
20 s
9. Velocity Time Graph Velocity Time Graph is used to show acceleration Time is on the x-axis Velocity is on the y-axis