University of South Alabama Physics PH 201/PH 202 Laboratory Manual 48 3.5 Preli

Question

University of South Alabama Physics PH 201/PH 202 Laboratory Manual 48 3.5 Preliminary Assignment i. Suppose that a quadratic fit to a position plot (see section 3.4.3.1) yields the following fit result: y 4.97t +1.53t +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 from rest for the time of 0 seconds tol.2 seconds in time intervals of 0.2 seconds (a total of seven points). 3. Plot the speed (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 0.252) my2. 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

a)

Compare given equation with

Y=Yo+Vot+(1/2)at2

=>(1/2)at2=4.97t2

a=9.94 m/s2

b)

Vot=1.53t

Vo=1.53 m/s

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