Question

1. Make graphs for displacement vs. time, velocity vs. time, acceleration vs. time. Put time on the x axis for each graph

Time (s)	Acceleration (m/s^2)	Velocity (m/s)	Displacement (m)
0.39	1	0.39	0.076
0.76	0.5277	0.401	0.1524
0.76	0.7916	0.6016	0.2286
0.88	0.7872	0.6927	0.3048
0.96	0.8268	0.7937	0.381
1.20	0.635	0.762	0.4572
1.30	0.631	0.7572	0.5334
1.51	0.534	0.8063	0.6096
1.40	0.6997	0.979	0.6858
1.19	1.0761	1.280	0.762

2. Did the graph match up with what you expected? If they did not explain what the differences are and why!

3. Use your results answer the following questions and prove your answer a. In all case was the ball accelerating down the ramp? b. As the time accelerating down the ramp doubles how would the displacement change? c. Are your graphs correct or incorrect? d. Explain, using any/all resources available to you, how you know your results are correct/incorrect. Be specific as possible

Answer 1

Sol. The graphs for displacement vs. time, velocity vs. time, acceleration vs. time didnt match as their dependence on time are different .

i.e. (i) Displacement α Time

(ii) v α 1/t

(iii) a α 1/t^2

So, as the proportionality of the three with time is different therefore the graph comes out to be different .