A student stands at the edge of roof of building and throws a stone 30 deg above

Question

A student stands at the edge of roof of building and throws a stone 30 deg above the horizon with a speed of Vo=20m/s. The roof is h=45 m above a flat, horizontal parking lot. The rock hits the parking lot at an unknown horizontal distannce from the building with an unknown velocity Vf. Please explain solutions for full credit. A. What is the Y component of its initial velocity (please explain)? B. What is the X component of its final velocity (Vf)? C. What is the X component of its acceleration? D. What is the Y component of its acceleration? E. What iis the speed at maximum height?

Explanation / Answer

x = 20 cos30 t = 17.32 t y = 45 + 20sin30t - 5 t^2 = 45 + 10t - 5t^2 for y=0, t = 4.16 sec x = 72.09 m y comp of vf = 10 - 5 * 4.16 = -10.8 m/s x comp of vf = 17.32 m/s x comp of a = 0 y comp of a = -10 m/s^2 spped at max height = 17.32 m/s

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