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 v0 = 13.0 m/s. The cliff is h = 35.0 m above a flat, horizontal beach as shown in the figure.

A) 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.)

B) 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.)

Explanation / Answer

A) Vx = component of the velocity vector decomposed in horizontal direction
Vy = decomposed component of the velocity vector in the vertical direction.

The motion appears to be a compound motion: it is horizontally uniform rectilinear, while vertically is uniformly accelerated, due to so the acceleration of gravity.

The horizontal component is already known, since in the absence of friction, the Vx coincides with the speed with which the edge is fired: this is because the text explicitly states that the shot is horizontal.

Vx = 13 m/s

Vy = gt

B) x = vt = 13t

y = 1/2*gt^2 = 4.9t^2

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