Linear Motion or 1D Kinematics. By Sandrine Colson-Inam, Ph.D. References: Conceptual Physics, Paul G. Hewitt, 10 th edition, Addison Wesley publisher http://www.glenbrook.k12.il.us/gbssci/phys/Class/1DKin/1DKinTOC.html. Outline. The Big Idea Scalars and Vectors
By Sandrine Colson-Inam, Ph.D
See Animations of Various Motions with Accompanying Graphs
Slow, Rightward (+)
Fast, Rightward (+)
Fast, Leftward (+)
Slow, Leftward (+)
Leftward (-) Velocity
Fast to Slow
Negative (-) Velocity
Slow to Fast
- constant velocity and changing velocity (acceleration)
- can be summarized as follows.
Check Your Understanding
Time (s) Velocity (m/s)
1 - 9.8
2 - 19.6
3 - 29.4
4 - 39.2
5 - 49.0
Thus tv = gt
The position vs. time graph for a free-falling object is shown below.
A velocity versus time graph for a free-falling object is shown below.
vf = g * t
where g is the acceleration of gravity (approximately 10 m/s/s on Earth; its exact value is 9.8 m/s/s). The equation above can be used to calculate the velocity of the object after a given amount of time.
d = 0.5 * g * t2
where g is the acceleration of gravity (approximately 10 m/s/s on Earth; its exact value is 9.8 m/s/s). The equation above can be used to calculate the distance traveled by the object after a given amount of time.
Ima Hurryin is approaching a stoplight moving with a velocity of +30.0 m/s. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima's acceleration is -8.00 m/s2, then determine the displacement of the car during the skidding process. (Note that the direction of the velocity and the acceleration vectors are denoted by a + and a - sign.)
More Practice Problems at http://www.glenbrook.k12.il.us/gbssci/phys/Class/1DKin/U1L6d.html