Trial ha (m) h (m) he (m) va (m/s) va (m/s) ve (m/s) aa (m/s aa (m/s2) ac (m/s2)

Question

Trial ha (m) h (m) he (m) va (m/s) va (m/s) ve (m/s) aa (m/s aa (m/s2) ac (m/s2) 0.271 t 0.304 t 0.2690 t 0.7793 t -0.1253 t -0.7894 t -8.7381 t -9.1009 t -8.7899 t 0.001 0.001 0.001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.311 t 0.381 t 0.310 t 1.126387 -0.0018 t -1.1186 t -9.0156 t -9.0278 t -8.6497 t 0.001 0.001 0.001 t 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.340 t 0.410 t 0.339 t 1.1305 t -0.0046 t -1.1150 t -9.1497 t -9.1070 t -8.7015 t 0.001 0.001 0.001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.410 0.463 t 0.403 t 0.9888 t 0.0741 t -1.0409 t -9.3022 t -8.9759 t -8.8845 t 0.001 0.001 0.001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.378 t 0.421 t 0.347 t 0.8836 t -0.0256 t -1.1415 t -9.0643 t -9.1528 t -8.7991 t 0.001 0.001 0.001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 Table 2: Acceleration due to Acceleration due to Acceleration due to Mass of Ball Average Acceleration gravity from the gravity from the gravity from the (kg) due to Gravity (all 3 graphs) (m/s2) Position v. Time Velocity v. Time Acceleration v. Time Graph Graph Graph (m/s2) (m/s2) (m/s2)

Explanation / Answer

1) let's start with the first column ( finding g from posistion vs time)

h2-h1 = 1/2 g ( t2^2 - t1^2)

therefore, first take trial 1, ( hb -ha) = 1/2 g ( tb^2 - ta^2)

similarly. yu can compute fro other trails also.

2)  let's start with the second column ( finding g from velocity vs time)

v = gt

vb- va = g ( tb-ta) ---------you can compute for different trials

3) for the third column, i would advose to take average of all three accelerations , to arrive at final value.

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