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The shadow of a pendulum cast on a flat board moves on a straight line. By placing the x-axis on the st Idle of the total path, the x-coordinate of the shadow is given by the following function: x(t) = 74cos(xt), where t is in se

The shadow of a pendulum cast on a flat board moves on a straight line. By placing the x-axis on the st Idle of the total path, the x-coordinate of the shadow is given by the following function: x(t) = 74cos(xt), where t is in se

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The shadow of a pendulum cast on a flat board moves on a straight line. By placing the x-axis on the straight line with the origin at the middle of the total path, the x-coordinate of the shadow is given by the following function: x(t) = 74cos(лt), where t is in seconds and x is in centimeters. Part (a) Find the speed, in centimeters per second, of the shadow at t = 1/4 s. Part (b) Find the speed, in centimeters per second, of the shadow at t = 1/2 s. Part (c) Find the magnitude of the acceleration, in meters per second squared, of the shadow's motion at t = 1/3 s. Part (d) How much distance, in centimeters, does the shadow travel in 20 sec?
Transcribed Image Text:The shadow of a pendulum cast on a flat board moves on a straight line. By placing the x-axis on the straight line with the origin at the middle of the total path, the x-coordinate of the shadow is given by the following function: x(t) = 74cos(лt), where t is in seconds and x is in centimeters. Part (a) Find the speed, in centimeters per second, of the shadow at t = 1/4 s. Part (b) Find the speed, in centimeters per second, of the shadow at t = 1/2 s. Part (c) Find the magnitude of the acceleration, in meters per second squared, of the shadow's motion at t = 1/3 s. Part (d) How much distance, in centimeters, does the shadow travel in 20 sec?
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