1. Warm-Up
Using the equations on the board, answer the following questions on a sheet of paper.
1. What equation would you use to solve for the height of a building that you drop a penny off of?
2. What equation would you use to solve for final velocity of a moving car?
3. What equation would you use to solve for the horizontal velocity of a projectile?
4. What equation would you use to solve for the time it takes for a stone to fall from a river into a bridge?
5. What equation would you use to solve for the horizontal distance of a projectile?

2. Acceleration, Displacement & Time
Let’s say you and your pet cat were visiting the Grand Canyon when you both slipped and almost fell over the edge. Luckily you two were able to make it safely back to higher ground.

3. Acceleration, Displacement & Time
If you and your pet cat would have happened to fall off the cliff, describe your vertical motion
Constant acceleration due to gravity, 9.8 meters per second squared

4. Acceleration, Displacement & Time
What is happing to your velocity every second?
It is increasing by 9.8 meters per second each second

5. Acceleration, Displacement & Time
What would that look like on a speed time graph?
Straight slope up and to the right, (draw on graph)

6. Acceleration, Displacement & Time
The curve is a straight line, so the slope is constant or uniform, what does the slope on a speed time graph represent? Acceleration
How can you calculate acceleration from the slope? Rise over run

7. Acceleration, Displacement & Time
Have a student calculate the slope in the space provided
Optional – have a second student calculate slope using different x and y values
For each vertical change of 10m/s there is a corresponding horizontal change of 1 second, the straight line shows the acceleration is constant

8. Acceleration, Displacement & Time
Because acceleration due to gravity is constant (or uniform), it allows us to use this formula to calculate displacement or time

9. Acceleration, Displacement & Time
A stone tumbles
into a mine shaft
and strikes the
bottom after falling
for 47.3 seconds.
How deep is the mine shaft?
Have a student solve in area provided

10. Acceleration, Displacement & Time
The same formula can also be used to calculate acceleration if displacement and time is known.

11. Acceleration, Displacement & Time
A stone dropped from
rest strikes the
bottom of a mine shaft
10,972 meters deep
in 47.3 seconds. At what rate was the stone accelerated?
Have a student solve in area provided

12. Acceleration, Displacement & Time
The same formula can also be used to calculate displacement, acceleration, or time for objects moving horizontally or on an incline

13. Acceleration, Displacement & Time
A car with an initial speed of 6.60 m/s accelerates at a uniform rate of 0.92 m/s2 for 3.6 seconds. Find the displacement of the car during this time.
Have a student solve in area provided

14. Acceleration, Displacement & Time
Up to now we have used formulas that give the time interval that an object is in motion

15. Acceleration, Displacement & Time
In the event a time interval is not given, this formula can be used to calculate for acceleration, final velocity, initial velocity, or displacement

16. Acceleration, Displacement & Time
A train with an initial speed of 100 m/s accelerates uniformly at the rate of 20 m/s2. If the total displacement of the train is 1200 meters, find the final speed of the train.

17. Acceleration, Displacement & Time
An automobile with an initial speed of 4.30 m/s accelerates uniformly at the rate of 3.0 m/s2. Find the final speed and the displacement after 5.0 seconds.