aution Make sure that your printed Page #1 is OK before you close the Capstone.
ID: 1879103 • Letter: A
Question
aution Make sure that your printed Page #1 is OK before you close the Capstone. All the d : llected in Experiment 3 will be lost when the Capstone is closed! ose PASCO Capstone by clicking the red-cross at the upper corner, then select "discard irn off PASCO 850 interface and shut down the computer. lean up your bench. analysis able A: Data summary the data listed in this table can be found from Graph Page #1 and thos recorded by hand in each measurement. Calculate the average values Short or medium| Angle! Repeat #|Initial speed! Flight Time Flight Range R (m) Do (m/s) Im Short degree2 3 19.A48 140x3 Measurement #1 3 334 0.441 0 Average 3.1216.448 (40,5 a Medium 19 0 49223. 963 0.4422 3.3 degree2 3A 1S3 0 -499238 Average 4.144 44 123.5 Measurement #2 ac4 Short 30 30 38 o- 64 degree2 Measurement #3 Short Measurement #4 Average Ao 644 o 40 degree2 293 Average l 2, 9 7 (e S&- | o. 72 3 l ts 8·7 | Analysis on the equality of fli ghttimesobtainedfromMeasurements#l and#2. D Table B: Measurements Measurements #2 Fl MeasuredFlight ranse R (m) quantities Initial speed D Im/s) 49 44 Initial height yo (m) F on the ball Quantities. on the ball Related to the measured quantities a, of the ball a, of the b Type g motion in x direction Tyzé of motion in y direction
Explanation / Answer
initial angle of flight = thetao
intiial speed of launch =vo
height from the landing sopt = h
time of flight = T
rang e= R
then
-h = vo*T*sin(theta) - 0.5gT^2
R = vo*cos(theta)*T
also
for determination of ymax
at ymax
vy = 0
vx = vo*cos(tehta)
vy = vo*sin(theta) - gt
t = vo*sin(theta)/g
ymax = vo*sin(theta)(vo*sin(tehta)/g) - 0.5g(vo*sin(theta)/g)^2
ymax = vo^2*sin^2(theta)/g - 0.5*vo^2*sin652(tehta)/g
ymax = vo^2*sin^2(theta)/2g
here vo is initial velocity of launch
theta is initial angle of launch
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