If the current position of the object at time t is s (t), then the position at time h later is s (t + h). The average velocity (speed) during that additional tir (s(t+h)-s(t)) h is If we want to analyze the instantaneous velocity at time t, this can be made into a mathematical model by taking the limit as h h i.e. the derivative s' (t). Use this function in the model below for the velocity function v (t). The acceleration is the rate of change of velocity, so using the same logic, the acceleration function a (t) can be modeled with the derivative of the vele function, or the second derivative of the position function a (t) = v' (t) = s" (t). Problem Set question: A particle moves according to the position function s (t) = e2t sin (5t). Enclose arguments of functions in parentheses. For example, sin (2t). (a) Find the velocity function. a |a| sin (a)

If the current position of the object at time t is s (t), then the position at time h later is s (t + h). The average velocity (speed) during that additional tir (s(t+h)-s(t)) h is If we want to analyze the instantaneous velocity at time t, this can be made into a mathematical model by taking the limit as h h i.e. the derivative s' (t). Use this function in the model below for the velocity function v (t). The acceleration is the rate of change of velocity, so using the same logic, the acceleration function a (t) can be modeled with the derivative of the vele function, or the second derivative of the position function a (t) = v' (t) = s" (t). Problem Set question: A particle moves according to the position function s (t) = e2t sin (5t). Enclose arguments of functions in parentheses. For example, sin (2t). (a) Find the velocity function. a |a| sin (a)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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