Consider a car moving with a constant rightward velocity of 10 ms The resulting positiontime graph would look like this When a motion has a constant positive velocity the line will be straight and have a positive slope ID: 391299
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Slide1
Graphing Motion
Consider a car moving with a
constant, rightward (+) velocity of +10 m/s.
The resulting position-time graph would look like this.
*When a motion has a constant, positive velocity, the line will be straight and have a positive slope*Slide2
Now consider a car moving with a
rightward (+), changing velocity
- that is, a car that is moving rightward but speeding up or accelerating.
The resulting position-time graph would look like this:
*A motion with a changing, positive velocity results in a line of changing and positive slope*Slide3
The position vs. time graphs for the two types of motion - constant velocity and changing velocity (
acceleration
) - are depicted as follows.Positive VelocityConstant Velocity Positive VelocityChanging Velocity (acceleration)Slide4
Example:
The slope of the graph on the right is larger than that on the left. This larger slope is indicative of a larger velocity. The object represented by the graph on the right is traveling faster than the object represented by the graph on the left.
Slow, Rightward(+)Constant VelocityFast, Rightward(+)Constant VelocitySlide5
Negative (-) Velocity
Slow to Fast
Leftward (-) VelocityFast to SlowSlide6
Consider a car moving with a
constant, rightward (+) velocity
of +10 m/s. A car moving with a constant velocity is a car with zero acceleration.
The
velocity-time
graph would look like this.
A motion described as a constant, positive velocity results in a line of zero slope. This motion has positive velocity.Slide7
Now consider a car moving with a
rightward (+), changing velocity
- that is, a car that is moving rightward but speeding up or accelerating. Since the car is moving in the positive direction and speeding up, the car is said to have a positive acceleration.
The velocity-time graph would look like this. A motion described as a changing, positive velocity results in a sloped line when plotted as a velocity-time graph. The slope of the line is positive, corresponding to the positive acceleration. This is a motion with positive velocity.Slide8
The velocity vs. time graphs for the two types of motion - constant velocity and changing velocity (acceleration) - can be summarized as follows.
Positive Velocity
Zero AccelerationPositive VelocityPositive AccelerationSlide9Slide10