A graphing calculator is recommended. A particle moves according to a law of motion s = f(t), t> 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 - 9t2 + 24t (a) Find the velocity (in ft/s) at time t. v(t) = 31 – 18t+ 24 v ft/s (b) What is the velocity (in ft/s) after 1 second? v(1) = 9 v 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.) (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 seconds. X ft (f) Find the acceleration (in ft/s?) at time t. a(t) = X ft/s? Find the acceleration (in ft/s?) after 1 second. a(1) = x ft/s? (g) Graph the position, velocity, and acceleration functions for 0 sts 6.

A graphing calculator is recommended. A particle moves according to a law of motion s = f(t), t> 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 - 9t2 + 24t (a) Find the velocity (in ft/s) at time t. v(t) = 31 – 18t+ 24 v ft/s (b) What is the velocity (in ft/s) after 1 second? v(1) = 9 v 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.) (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 seconds. X ft (f) Find the acceleration (in ft/s?) at time t. a(t) = X ft/s? Find the acceleration (in ft/s?) after 1 second. a(1) = x ft/s? (g) Graph the position, velocity, and acceleration functions for 0 sts 6.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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