University of South Alabama Physics PH 201/PH 202 Laboratory Manual 3.5 Prelimin

Question

University of South Alabama Physics PH 201/PH 202 Laboratory Manual 3.5 Preliminary Assignment 1. Suppose that a quadratic fit to a position plot (see section 3 4.3.1) yields the following fit result y 4.97t +153t+0.0503. From this fit result A) Determine the acceleration due to gravity of the particle, B) Determine the initial speed of the particle. 2. Plot the position of a particle (see Equation (3.2)) as a function of time for an object dropped a from rest for the time of 0 seconds tol.2 seconds in time intervals of 0.2 seconds (a total of seven points. Plot the speed (see Equation (3.1) of the same particle as in problem number 2 above for the 4. Suppose that the acceleration due to gravity was measured in a free fall experiment to be (9.77 t 0.252 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"

Explanation / Answer

1) y = 4.97*t^2 + 1.53*t + 0.0503

v = dy /dt = (2*4.97*t) + 1.53

accelaration is a = (2*4.97) = 9.94 m/s^2 is the answer for A)

B) initial speed is Vo

V = (2*4.97*t) + 1.53

initially t = 0

then V = 1.53 m/sec

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