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The position of a particle moving along the x-axis depends on the time according to the equation x ct²-bt3, where x ww is in meters, t in seconds, and c and b are positive constants. (a) What is the unit of constant c? Unit: Choose one (b) What is the unit of constant b? Unit: Choose one (c) Find a formula of the velocity v in terms of c, b, and t. V= (d) Find a formula of the acceleration a in terms of c, b, and t. A= (e) At what time t20 does the particle reach its maximum & value? tmax

The position of a particle moving along the x-axis depends on the time according to the equation x ct²-bt3, where x ww is in meters, t in seconds, and c and b are positive constants. (a) What is the unit of constant c? Unit: Choose one (b) What is the unit of constant b? Unit: Choose one (c) Find a formula of the velocity v in terms of c, b, and t. V= (d) Find a formula of the acceleration a in terms of c, b, and t. A= (e) At what time t20 does the particle reach its maximum & value? tmax

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 position of a particle moving along the x-axis depends on the time according to the equation x ct²-bt³, where x is in meters, t in seconds, and c and b are positive constants. (a) What is the unit of constant c? Unit: Choose one (b) What is the unit of constant b? Unit: Choose one (c) Find V= (d) Find a formula of the acceleration a in terms of c, b, and t. a = formula of the velocity v in terms of c, b, and t. (e) At what time t≥ 0 does the particle reach its maximum æ value? tmax
Transcribed Image Text:The position of a particle moving along the x-axis depends on the time according to the equation x ct²-bt³, where x is in meters, t in seconds, and c and b are positive constants. (a) What is the unit of constant c? Unit: Choose one (b) What is the unit of constant b? Unit: Choose one (c) Find V= (d) Find a formula of the acceleration a in terms of c, b, and t. a = formula of the velocity v in terms of c, b, and t. (e) At what time t≥ 0 does the particle reach its maximum æ value? tmax
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