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

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 51P: A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four...
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Only do C,D,E
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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