Question

Module 2A: Position and Displacement; Derivatives The distance between school and a students house is 12 miles. During a typical school day it takes 45 minutes for this student to drive from home to school in the morning and 24 minutes from school to home in the afternoon. (a) What is the total distance the student will travel during a school day? (b) What is the displacement of the student during a school day? 1. 2. The coordinate of a particle in meters is given by x() 16r-3.0-1.0, where x is in meters and t is in seconds. (a) The position of the particle at !-O s and 1 2.0 s are Hint: x(0)-? x(2)-? and (b) The displacement between-0 s and t 2 s is Hint: Ar x(2)-x(0)-? (c) The unit for the constant 3.0 is Hint: In units, the equation can be written as m 16(s)-3(s)2-1 3. Given x()-1.0-2.01-5.0 then the derivative of x(0) is Hint:? dx dt u elcity and Acceleration

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Answer #1

1 A) Total Distance = 12 miles(home to school) + 12 Miles(school to home)=24 Miles

B) Displacement=0 miles ( Because student return to original position )

2.

s) 89 m C) 2. 2. = 3t.yt

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