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A student stands at the edge of a diff and theows a stone horizontally over the

ID: 1579830 • Letter: A

Question

A student stands at the edge of a diff and theows a stone horizontally over the odge with a speed of vo-19.5 m/s. The diff is h- 63.0 m above a flat, horizontal beach as thown in the figure. (a) what are the coordinates of the initial position of the stone? nm b) What are the components of the initial velocity n/s n/s (c) write the equations for the x and y-components of the velodity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include unit answer.) d) wite the equations for the position of the stone with time, using the cordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state your answer.)

Explanation / Answer

a) x0 = 0

y0 = 63 m

b) vix = 19.5 m/s

viy = 0

c) vfx = vix = 19.5 m/s

vfy = viy+ay*t = -gt

y = y0-1/2gt^2

t = sqrt(2y0/g) = sqrt(2*63/9.8) = 3.58 sec

vfy = -9.8*3.58 = -35.14 m/s

e) x = vox*t

x = 19.5*3.58 = 69.81 m