3.1. Procedure. Turn the cannon until it is pointed straight up. Looking at this setup, what is the acceleration of the cannonball after it leaves the cannon? Suppose I fired a real cannon placed at an height of 10 meters and only measured the maximum vertical height that the cannonball reaches. This measurement was run 10 times. Complete the following on the data table below: - The mean (average) vertical displacement for the 10 firings. Use equation (4). - The deviation of each run from the mean. Use equation (5). - The mean(average) of the deviations. - The mean(average) of the squared deviations. 3.1.1. Finding the spread of a data set. Calculate the standard deviation, shown in equation (6) in the space below. Show units with your numbers. This is a measure of the scatter of the data values. The larger the variation in your values, the larger the value of . 3.1.2. Predict and compare. Apply equation (3) using the cannon's initial height and mean vertical height to find the initial speed of the cannonball. Note that vy=0 when the projectile reaches its maximum height. Show all your work in the space below. Now, get back on the simulation. Since the target is vertical, you don't need to worry about the target position. Now find the initial speed, by scrolling the "initial speed" bar and pressing the red cannon fire button, that gets the cannonball to reach the mean height calculated. To quantify how far your calculated speed is from the measured value apply this equation: Relativeerror=ExperimentalCalculatedExperimental100% In our case, we will use the simulation for our experimental value