Projectile Motion Lab

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Projectile Motion Exercise 3’s Results The purpose of this exercise was to determine the relationship between the predicted and measured ranges of the projectile when it is fired at an arbitrary angle with respect to the horizontal. Throughout all the processes of observing, calculating and measuring, the experiment’s result is consistent with the expectation that Equation (3) can be used to find the range as long as the initial speed does not change. Theta = | 40 | Cos(Theta) | 0.76627189 | Sin (Theta) | 0.64251645 | | | Range | Short | Medium | Rpredicted | 1.5465778 | 3.0222929 | Rmeasured | 1.56 | 3.03 | | 1.57 | 3.04 | | 1.58 | 3.08 | Ave | 1.57 | 3.05 | Std | 0.01 | 0.2645751 | Table II. Predicted and Measured Ranges for the Short and Medium Settings of the Pasco Projectile Motion Apparatus at a Launch Angle θ = 40°. The predicted and measured ranges were entered into Table II. As seen in Table II, respectively in order, the predicted and measured average ranges for 40° angles in short range was 1.5465778 and 1.57; in medium range was 3.0222929 and 3.05. In the experiment, uncertainty can be represented in human error and rounding decimal places when calculate. The human error could be misreading of a measurement tool. In this case, the standard deviation of your range measurements was used as the measure of uncertainty. The variables that contain uncertainty due to human error include: the initial height h (the error was represented by the standard derivation which was 0.0005) and the variance on the final distance calculations (standard derivation are shown in Table I – Exercise 2, 0.4358899, 0.01527525 and so on). As for decimal places causing uncertainty, rounding numbers were also involved in rounding vmin, vmax and v0. As shown in Table II, the measured range is

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