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PLEASE HELP ME WITH MY ASSIGNMENT, ASAP. THUMBS UP I PROMISE! I did an experiment to calculate the magnitude of acceleration due to Earth's gravity

PLEASE HELP ME WITH MY ASSIGNMENT, ASAP. THUMBS UP I PROMISE!

I did an experiment to calculate the magnitude of acceleration due to Earth's gravity by dropping several objects from 2 meters. Know I have to do caculations of equations which are very hard for me. This below is all just in question 1 and I need to make it right, to pass my cource.

To caculate the value of t for its frame equation 1 (below). Let fps = number of frames per second and use equation 2 (below) to calculate the value of t for each frame.the value of t for each frame.Enter each value of t in the data table (1 credit).Use equation 3 (below) to calculate the magnitude of acceleration due to Earth's gravity (g).Enter each value of g in the data table.

image text in transcribed

Data table

Enter your values of z, t and g in the first, second and third columns of the data table below. The data table has 7 rows. If you have less than 7 frames on which the falling object is captured, enter a (or do not delete the) question mark (?) in each unused cell. If you have more than 7 frames on which the falling object is captured, enter data from every e.g. second/third frame.

Since I did an experiment to calculate the magnitude of acceleration due to Earth's gravity I know the answer of z (m). In the experiment I droped an object from 2 meters.

i z (m) t (s) g (m.s-2)
0 2.64
1 2.78
2 2.55
3 2.65
4 2.46
5 2.15
6 2.95

The assignment continues with:

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Equation 1: t09.2z0 Equation 2: ti=fpsi+t0 Equation 3: g=ti22zi Calculate a mean value of g(1 credit) and its standard deviation (s.d.) ( 1 credit) using the following equations (which assume that your data represents a sample of the entire population): g=ni=1n(gi) s.d. (g)=n1i=1n(gig)2 n= number of samples. gs.d.(g)ms2ms2 Re-arrange equation 3 (which can also be written as follows: g=2z/t2 ) with z on the left hand side of the equals sign (1 credit): Equation 4: z= Use equation 4 to calculate the how far the object would have fallen 5 seconds after it had been released ( 1 credit): z(t=5 seconds )=m Calculate the derivative (i.e. differentiate) this equation with respect to t : Equation 5: dtdz= Use equation 5 to calculate the velocity (v) of the object 5 seconds after it had been released ( 1 credit): v(t=5 seconds )=ms1

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