A student stands at the edge of a cliff and throws a stone horizontally over the

Question

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v_f = -15.5 m/s. The cliff is h = 45.7 m above of water as shown in the figure below. a) What are the coordinates of the initial position of the stone? b) What are the components of the initial velocity of the stone? c) What is the appropriate analysis model for the vertical motion of the stone? particle under constant speed particle under constant, non-zero acceleration d) What is the appropriate analysis model for the horizontal motion of the stone? particle under constant speed particle under constant, non-zero acceleration e) Write symbolic equations for the x and y components of the velocity of the stones as a function of time. (Use the following as necessary v_infinity, g and t. Indicate the direction of the velocity with the sign of your answer.) f) Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: V_infinity 9, and t) Indicate the direction of the displacement with the sing of your answer) g) How long after being released does the stone strike the water below the cliff?

Explanation / Answer

a)

Xi = 0

Yi = 45.7 m

b)

Vix = X-component = 15.5 m/s

Viy = Y-component = 0 m/s

c)

particle under constant speed , non-zero acceleration

d)

particle under constant speed

e)

Vfx = Vix + at = Vix + 0 t = Vix                      towards positive X-direction

Vfy = Viy + gt = 0 + g t = gt                            towards negative Y-axis

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