can someone help A student performs the projectile motion experiment and records

Question

can someone help

A student performs the projectile motion experiment and records the following values for the initial velocity and the measured range of the projectile at an elevation angle of theta = 30 degree , with an initial elevation of Y 0 = 0.087m: Angle of Elevation: theta = 30 degree Initial Elevation Y 0 = 0.087m Run Number v degree (m/s) T ToF (s) X max-cal (m) X max-exp (m) 1 2.87 0.910 2 2.91 0.913 3 2.88 0.914 4 2.91 0.915 5 2.87 0.906 X max-cal = sigma X max-cal lambda X max-cal X max-exp = sigma X max-exp = lambda X max-exp = Calculate the time of flight (T ToF) of the projectile for each of the five runs. Calculate the range of the projectile (X max-cal) for each run. Find the average value and statistical uncertainty of X max-cal. Determine the average value and statistical uncertainty of the measured range (X max-exp). Compare X max-cal plusminus lambda X max-cal with X max-exp plusminus lambda max-exp.

Explanation / Answer

Time of flight:
= 2usin(thita)/10
So, Cases...
Run 1: T=0.287sec
Run2: T=0.291sec
Run3: T= 0.288sec
Run4: T= 0.291sec
Run 5: T=0.287sec

Now, X max= ucos(thita)* time of flight
Run 1: X=0.7133m
Run2: X=0.7333m
Run3: X= 0.7138m

Run4: X= 0.7333m
Run 5: X=0.7133m

Answer3:
statistical average value=0.7214
Statistical uncertainity=0.00971

Answer 4:
statistical average value=0.9116

Statistical uncertainity=0.003261

Answer5:
X calculated= max value 0.73111 and min value 0.71169
X expected=max value0.914861 and min value 0.908339

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