Name
Date Period
Enduring Understanding
Motion can be modeled graphically and mathematically.
Enduring Question
How is motion graphed?
How can the location of object be obtained and predicted mathematically?
Objective
Student will be able to model motion graphically and mathematically and be able to predict future motion.
Student Targets
I can …

Differentiate between speed and acceleration.

Manipulate and apply the mathematical expression that relates speed, distance, and time (V=d/t).
 Manipulate and apply the mathematical expression that relates to speed and acceleration (a=Vf-VI/t).

Graph and identify graphed results for (draw an example of each below with labeled axis):
-Acceleration v time
-Velocity v time
***Do not forget about measurement and sig figs!!!!!!!!
1. A toy car originally is traveling at 42 cm/s. The velocity increases to 74 cm/s in
8.4 second. What is the acceleration in cm/s/s?

2. A person driving from their home to WalMart (a distance of 9.5 miles) takes 15 minutes to get there. What is their average speed?
3. A car is uniformly accelerated at the rate of 3.4 m/s/s (meters per sec per sec) for
6.0 sec. If the original velocity of the car is 2.00 m/s, what is its final velocity?
4. Define:
Speed –
Velocity –
Acceleration –
Position –
Finish the following statements:
5. The slope of a position vs. time graph is
6. The slope of a velocity vs. time graph is

7. Given the following graph, describe the movement of the object. Be sure to use the terms position, velocity and acceleration. Include direction in your explanation.
8. Given the following graph, describe the movement of the object. Be sure to use the terms position, velocity and acceleration. Include direction in your explanation.

An object in motion was photographed every second and the pictures compiled to show the movement. Describe the motion of the following figures:
9.
Second 1
Description -
The box is
2 3 4 5
10.
Second 1 2 3
Description –
The circle is
11.
Second 1
Description –
The triangle
2 3 4
4 5
5

12) Below is a position vs time graph.
What is the displacement (change in position) and velocity (slopes)of the object during each segment of the graph above?

13) Below is a graph of velocity vs time:
What is the acceleration (Slope), if any, of the object during each of the 4 labeled intervals?

14) Below is a graph of John the groundskeeper as he moves about a golf course: a) Where is John moving the fastest? How do you know? b) Where is John moving the slowest? How do you know? c) What is John's average velocity? (Hint: Use the formula and the graph.)

15) Below is a graph of velocity vs time for an otter: d) Where is the otter traveling the fastest? How do you know? e) What is the otter traveling the slowest? How do you know? f) Where the otter traveling backwards? How do you know? g) What distance does the otter travel during each segment? (Hint: use the formula)