Part 3/3.

Projectile Motion PRE-LAB Continued In this lab, you will be studying the projectile motion of a ball, which is launched horizontally from a position about 1 meter above the ground. In the first part of the lab, you will measure the range of the ball to determine the launch speed of the ball. The ball is fired from a position a height H above the ground and lands a horizontal distance / (called the range) from the launch point as shown below. Vo O H The ball has zero initial vertical velocity, so the relationship between distance fallen and time is H=12 gr. Therefore, no matter how the ball moves horizontally (side-to-side), the time to fall a vertical distance h is given by t = 2H/g. As the ball falls, it continues to move horizontally at a constant speed vo so that r = vol. The speed we wish to find is then vo = rit . Substituting the value of 1 determined from the vertical motion we get the equation for the initial speed: vo = r g 2h The value for the acceleration g = 9.8 [m/s?] has very little uncertainty compared to the measured values of r and H. It is therefore reasonable to assume that g is known exactly. 1) Assume that you measure r = (1.36 + 0.04) [m] and H = (0.78 + 0.02) [m]. Using the procedures for combining uncertainties, determine the launch speed vo for this particular trial including the uncertainty. Show all your work