Question

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 13.5 m/s. The cliff is h = 52.0 m above a flat, horizontal beach as shown in the figure.

(c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) (e) How long after being released does the stone strike the beach below the cliff? 3.19 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. s (f) With what speed and angle of impact does the stone land? 31.3 -Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s 60.1 Your response differs from the correct answer by more than 10%. Double check your calculations.° below the horizontal

Answer 1

c) x = Vo = 13.5

y = - gt

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d)

x = 13.5 t

y = 52 - 0.5 g t^2

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e)

0 = 52 - 0.5* gt^2

0.5* 9.8* t^2 = 52

t = 3.26 seconds

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f)

vy = gt = 9.8* 3.26 = 31.92 m/s

vx = 13.5 m/s

net velocity

v^2 = vy^2 + vx^2

v = 34.66 m/s (Ans)

Direction

phi = arctan ( vy/ vx)

phi = 67.07 below Horizontal

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