Extra Practice Sheet #6 - Finding Acceleration (from a Distance vs Time Graph)
Name:_____________________
1. Create a table of values and graph “d = 2t2" for 0 - 8.0 s
t (s)
d (m)
0.0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
8.0
2. Draw Tangents to the curve at t= 1, 3, 5, and 7 s
3. Calculate the instantaneous speed at each of the tangent points by calculating the slope of each
tangent. Place the slopes in a table of values for t and v.
t (s)
v (m/s)
1.0
3.0
5.0
7.0
4. On a separate piece of graph paper, create a v vs. t graph using the table of values created
from the question above.
5. Draw a line of best fit for the v vs. t graph.
6. Calculate the slope of the line.
7. Find the y-intercept of the line.
8. Use the slope and y-intercept to write the equation of the line on the line
9. What does the slope of the V vs t graph represent?
Distance vs Time graph
Speed vs Time graph