Data from a projectile motion experiment is shown below. Calculate the mean and

Question

Data from a projectile motion experiment is shown below. Calculate the mean and standard deviation for each range. Use the equation for the standard deviation that contains N(N-1). Show one sample calculation in the space below the tables. Use the data above to calculate the mean launch speed of the projectile plus uncertainty by calculating the launch speed for each launch. Assume the launch is on a level surface. Record the mean and uncertainty in the lower right box of the table. Show one sample calculation of the launch speed in the space below the tables.

Explanation / Answer

Range R = u2Sin(2p)/g

u is the launch speed and p is the launch angle, g = 9.8 m/s2

u = sqrt( Rg/Sin(2p)

   = sqrt( 20.4*9.8/sin(60)) = 20.0 - sample

uncertainity = sqrt( mean of squars - square of mean)

angle R1 launchspeed1 R2 launchspeed2 R3 launchspeed3 mean speed 15 20.4 20.0 19.8 19.7 21.5 20.53 20.08 20 25.7 19.79 26.8 20.21 26.1 19.94 19.98 40 40.6 20.10 39.8 19.90 40.0 19.95 19.98 60 35.0 19.9 35.9 20.15 34.7 19.82 19.95 mean 20.05 19.99 20.06 2.71

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