Taterials needed: drinking fountain, metric ruler(s), and an assistant Measureme

Question

Taterials needed: drinking fountain, metric ruler(s), and an assistant Measurements 1. Locate a drinking fountain. Be so kind as to taking an exam here!) (not a fellow physics student, obviously: we're still describe its location (e-g, secord floor of north wing of the XYZ building) Location: 2. While your assistant holds the button to make water flow at its maximum rate, use a metric ruler, and possibly another straight-edge, to measure the height (in meters) of the spigot relative to the impact point; we'll call this distance yo. Since the water stream is not a perfectly thin line, try to measure the center of the stream for this as well as the following measurements. Record your measured yo in the table below 3. Measure the coordinates (xi, yi) of the highest point of the water's are and record them in the table. 4. Measure the horizontal distance between the spigot and the point at which the water hits the basin. Call this distance x2. Note that since we are measuring all vertical distances from this point, y:-0.) Subscript)Point of the are(m)y (m) 1Highest point 2Impact point Algebra and Analysis We now need to fit our collected points to the equation of a parabola. I'll spare you the ugly details of how to pull this off, and simply tell you that for the collection of points we have collected,y-A Br+Cif (x2-x1)yo-x2y1 Yo x,x2(x2-x 5. Using your measured x's and y's, evaluate the quadratic coefficients A, B, and C as given by the foregoing equations. Be sure to keep track of, and include, the correct units C- From the equations for xt() and y() for projectile motion, it is possible to derive a function y() that describes path a projectile takes through space. Feel free to derive it for yourself. The equation you should get is: the parabolic y)2 coso(tan@)x +y 6. Match your computed coefficients A and B with their corresponding symbolic coefficients of x? and x in the yx) equation displayed above to obtain two equations involving vo and 6. You can use the back of this page and then use that value ore to 7. Solve one of your equations for there should be one that depends solely upon it obtain io from the other equation. This is the speed of the water as it exits the spigot. Are your results for so and 0 reasonable?

Explanation / Answer

This is a very interesting experiment.To solve it, you actually have to perform it properly.

It is very easy, just go to any water fountain and measure the coordinates required(heighest point of projectile coordinate).Put the values into the equations to get the desired constants.

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