A student stands on the edge of a merry-go-round which rotates eight times a minute and has a radius of two meters one evening as the sun is setting. The student produces a shadow on the nearby building, (Assume that the +x-axis is to the right, the origin is at the center of the shadow's path along the building, and that the student's shadow is at its rightmost position at t = 0. Use the following as necessary: t. In your equations, let distance be in meters and time be in seconds. Do not include units in your answers.) (a) Write an equation for the position of the shadow (in m). x(t) = 2 cos m (b) Write an equation for the velocity of the shadow (in m/s).

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Introduction
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A student stands on the edge of a merry-go-round which rotates eight times a minute and has a radius of two meters one evening as the sun is setting. The student produces a shadow on the nearby building. (Assume
that the +x-axis is to the right, the origin is at the center of the shadow's path along the building, and that the student's shadow is at its rightmost position att = 0. Use the following as necessary: t. In your equations, let
distance be in meters and time be in seconds. Do not include units in your answers.)
(a) Write an equation for the position of the shadow (in m).
-1
x(t)
2 cos
6.
(b) Write an equation for the velocity of the shadow (in m/s).
v(t) =
m/s
Transcribed Image Text:A student stands on the edge of a merry-go-round which rotates eight times a minute and has a radius of two meters one evening as the sun is setting. The student produces a shadow on the nearby building. (Assume that the +x-axis is to the right, the origin is at the center of the shadow's path along the building, and that the student's shadow is at its rightmost position att = 0. Use the following as necessary: t. In your equations, let distance be in meters and time be in seconds. Do not include units in your answers.) (a) Write an equation for the position of the shadow (in m). -1 x(t) 2 cos 6. (b) Write an equation for the velocity of the shadow (in m/s). v(t) = m/s
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