Compute the average value of g (and standard deviation) from the four velocity r

Question

Compute the average value of g (and standard deviation) from the four velocity runs. Use the standard deviation to calculate the statistical uncertainty for the average g. Compare this measured value for the acceleration due to gravity with the accepted value for Mobile. Alabama. Suppose that a quadratic fit to a position plot (sec section 3.4.3.1) yields the following fit result: y 4.97x^2 +1.53x -f 0.0503. From this fit result: Determine the acceleration due to gravity of the particle. Determine the initial velocity of the particle. Plot the position of a panicle (sec Equation (3.2)) as a function of time for an object dropped from rest for the time of 0 seconds to 1.2 seconds in time intervals of 0.2 seconds (a total of seven points). Plot the velocity (see Equation (3.1)) of the same particle as in problem number 2 above for the same time intervals 4. Suppose that the acceleration due to gravity was measured in a free fall experiment to be (9.777 plusminus 0.252) m/s^2. Does this value agree within the uncertainty with the given value for the acceleration due to gravity in Mobile. Alabama? (Show your work. Don't just answer "yes" or 'no'.)

Explanation / Answer

1) y = 4.97x2 + 1.53x + 0.0503

A) Acc. = a = (d2y/dt2) = 9.94 m/s2

B) Velocity = v =dy/dt = 9.94x + 1.53

Initial velocity = v(x=0) = 1.53 m/s

2) and 3) There is no equation 3.1 and 3.2 given.

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