A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s in feet. (If an answer does no f(t) = t3 - 9t? + 24t (a) Find the velocity (in ft/s) at time t. v(t) = 312 – 18t + 24 ft/s (b) What is the velocity (in ft/s) after 1 second? v(1) = 9 ft/s (c) When is the particle at rest? (Enter your answers as a comma-separated list.) t = 2,4 (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) [0,00] (e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 36 X ft (f) Find the acceleration (in ft/s2) at time t. a(t) = 6t – 18 ft/s?

A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s in feet. (If an answer does no f(t) = t3 - 9t? + 24t (a) Find the velocity (in ft/s) at time t. v(t) = 312 – 18t + 24 ft/s (b) What is the velocity (in ft/s) after 1 second? v(1) = 9 ft/s (c) When is the particle at rest? (Enter your answers as a comma-separated list.) t = 2,4 (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) [0,00] (e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 36 X ft (f) Find the acceleration (in ft/s2) at time t. a(t) = 6t – 18 ft/s?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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