Question

Objective: Describe the motion of an object given a distance vs. time or a distance vs. time2 graph. What you need: Paper and pen What to do: 1. Read and analyze the situation. A student sets up an inclined plane by putting one end of the plane on top of stack of books. She marks the plane for every 40 cm and labels these 40 cm, 80 cm, 120 cm, and so on, starting from the lowest end. She then rolls the tin can from each labeled point starting with 40 cm mark. She starts the timer as the tin can is released and stops the timer when the tin can reaches the bottom of the inclined plane. She does the same for the other distances. The data for the three trials for each mark are found in Table 1. She also makes distance vs. time and distance vs. time2 graph as shown in Figures 3 and 4, respectively. Table 1. Data on the Motion of a Rolling Tin Can Distance, d (cm) | Time, t (s) | Time2, t2 (s2) | Trial 1 | Trial 2 | Trial 3 | Ave | 40 | 0.31 | 0.33 | 0.32 | 0.32 | 0.1024 80 | 0.47 | 0.45 | 0.46 | 0.46 | 0.2116 120 | 0.56 | 0.57 | 0.56 | 0.56 | 0.3136 160 | 0.65 | 0.64 | 0.63 | 0.65 | 0.4225 200 | 0.72 | 0.72 | 0.73 | 0.71 | 0.5041 Figure 3. Distance vs time graph Figure 4. Distance vs time2 graph Guide Questions: Q1. How will you describe the graphs of: a. distance vs. time in Figure 3? b. distance vs. time2 in Figure 4?

          Objective: Describe the motion of an object given a distance vs. time or a distance vs. time2
graph.

What you need: Paper and pen

What to do:
1. Read and analyze the situation.
    A student sets up an inclined plane by putting one end of the plane on top of stack of
books. She marks the plane for every 40 cm and labels these 40 cm, 80 cm, 120 cm, and so on,
starting from the lowest end. She then rolls the tin can from each labeled point starting with 40
cm mark. She starts the timer as the tin can is released and stops the timer when the tin can
reaches the bottom of the inclined plane. She does the same for the other distances. The data
for the three trials for each mark are found in Table 1. She also makes distance vs. time and
distance vs. time2 graph as shown in Figures 3 and 4, respectively.
Table 1. Data on the Motion of a Rolling Tin Can
Distance, d (cm) | Time, t (s) | Time2, t2 (s2)
 | Trial 1 | Trial 2 | Trial 3 | Ave |
40 | 0.31 | 0.33 | 0.32 | 0.32 | 0.1024
80 | 0.47 | 0.45 | 0.46 | 0.46 | 0.2116
120 | 0.56 | 0.57 | 0.56 | 0.56 | 0.3136
160 | 0.65 | 0.64 | 0.63 | 0.65 | 0.4225
200 | 0.72 | 0.72 | 0.73 | 0.71 | 0.5041

Figure 3. Distance vs time graph
Figure 4. Distance vs time2 graph

Guide Questions:
Q1. How will you describe the graphs of:
a. distance vs. time in Figure 3?

b. distance vs. time2 in Figure 4?

Objective: Describe the motion of an object given a distance vs. time or a distance vs. time2
graph.

What you need: Paper and pen

What to do:
1. Read and analyze the situation.
A student sets up an inclined plane by putting one end of the plane on top of stack of
books. She marks the plane for every 40 cm and labels these 40 cm, 80 cm, 120 cm, and so on,
starting from the lowest end. She then rolls the tin can from each labeled point starting with 40
cm mark. She starts the timer as the tin can is released and stops the timer when the tin can
reaches the bottom of the inclined plane. She does the same for the other distances. The data
for the three trials for each mark are found in Table 1. She also makes distance vs. time and
distance vs. time2 graph as shown in Figures 3 and 4, respectively.
Table 1. Data on the Motion of a Rolling Tin Can
Distance, d (cm) | Time, t (s) | Time2, t2 (s2)
| Trial 1 | Trial 2 | Trial 3 | Ave |
40 | 0.31 | 0.33 | 0.32 | 0.32 | 0.1024
80 | 0.47 | 0.45 | 0.46 | 0.46 | 0.2116
120 | 0.56 | 0.57 | 0.56 | 0.56 | 0.3136
160 | 0.65 | 0.64 | 0.63 | 0.65 | 0.4225
200 | 0.72 | 0.72 | 0.73 | 0.71 | 0.5041

Figure 3. Distance vs time graph
Figure 4. Distance vs time2 graph

Guide Questions:
Q1. How will you describe the graphs of:
a. distance vs. time in Figure 3?

b. distance vs. time2 in Figure 4?

Added by Crystal P.

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