![]() This is small compared to the standard deviation of the x-velocities. ![]() What would the x-velocity be for this case? Suppose I have an actual launch speed of 10.4 m/s, but I shoot it 2.6 degrees above the horizontal. It seems that the barrel of the Nerf gun goes from a minimum of -1.1 degrees below the horizontal to 2.6 degrees above. Ok, but what about the variation in the gun angle? Is that what could cause the variation in the launch speeds (since I am really just measuring v-x)? Good question. Sure, I could do some statistical tests, but I am going to stick with the eyeball. So, is it a normal distribution? Hard to say with so few points, but here is a plot of the same histogram normalized so that the total area is 1 along with a curve of a normal distribution with the same average and standard deviation. This is the distribution of the x-velocities (which I am assuming to the be the initial velocity).Īnd this gives an average of 10.4 m/s with a standard deviation of 1.5 m/s. What happens if I find the acceleration and the initial velocity for two belts worth of darts? Here is what you get. So, for this shot I will say that it was shot horizontally and has an initial velocity of 8.73 m/s. Either that, or I video recorded this in the middle of a gravity wave that LIGO failed to detect. The only thing I can think of is that there is some sort of aerodynamical thingy happening. Also, I am pretty sure the axis is set so that y is in the vertical direction. I am pretty sure my video is scaled correctly. The bad thing is that it is a bit too large (or larger than expected) with a value of around -10.2 m/s 2. The good thing is that the acceleration looks fairly constant. This seems like a fairly constant slope of 8.73 m/s. If the air resistance was a significant factor, the slope of the line (the x-velocity) would decrease as time increased. A linear function suggests that there is negligible air resistance.
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