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 themiddle 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?

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

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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Question

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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