# Exercise to Simulate and Fit a Parabolic Shot.

**Data R Value**, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)

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In this exercise we assume that we obtained the measurements of the height and the distance of the movement of a projectile by means of an experiment.

We define the vectors “Height” and “Distance” that have our physical measurements.

We fit a second-order model “lmr”.

We defined a scale of heights “nh” to evaluate the motion equation.

With the coefficients of the adjusted model we define the motion equation “fit” and finally we plot.

**Height = c(100, 200, 300, 450, 600, 800, 1000) Distance = c(253, 337, 395, 451, 495, 535, 576) **

**lmr = lm(Distance ~ Height + I(Height^2))**

lmr

lmr

**nh = seq(100, 1000, 10)**

**fit = lmr$coefficients[1]+ lmr$coefficients[2]*nh +**

**lmr$coefficients[3]*nh^2**

**fit**

**plot(Height, Distance, col = “red”, main=”Parabolic Shot Experiment”) **

**lines(nh, fit, lty=1, col = “blue”)**

Get the example in:

https://github.com/pakinja

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**Data R Value**.

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