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A particle moves according to a law of motion s = f(t), t2 0, wheret is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 – 7t2 + 21t (a) Find the velocity at time t. v(t) = 3 – 14t + 21 ft/s (b) What is the velocity after 1 second? v(1) = 10 ft/s (c) When is the particle at rest? DNE (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 seconds. ft (f) Draw a diagram like this figure to illustrate the motion of the particle. t = 6 s = 90 t = 0 t = 0 t S = 0 S = 0 S =

A particle moves according to a law of motion s = f(t), t2 0, wheret is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 – 7t2 + 21t (a) Find the velocity at time t. v(t) = 3 – 14t + 21 ft/s (b) What is the velocity after 1 second? v(1) = 10 ft/s (c) When is the particle at rest? DNE (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 seconds. ft (f) Draw a diagram like this figure to illustrate the motion of the particle. t = 6 s = 90 t = 0 t = 0 t S = 0 S = 0 S =

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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~~PART 2~~ please answer the remaining parts! thank you. i have part 1 posted already as well 

(g) Find the acceleration at time t and after 1 second. a(t) = ft/s2 a(1) = ft/s? (h) Graph the position, velocity, and acceleration functions for osts 6. (A graphing calculator is recommended.) 80 80 60 60 40 40 20 20 2 4. 2 4. 5 80 80 60 60 40 40 20 20 3 5 6 4 6. (i) When is the particle speeding up? (Enter your answer using interval notation.) When is it slowing down? (Enter your answer using interval notation.)
Transcribed Image Text:(g) Find the acceleration at time t and after 1 second. a(t) = ft/s2 a(1) = ft/s? (h) Graph the position, velocity, and acceleration functions for osts 6. (A graphing calculator is recommended.) 80 80 60 60 40 40 20 20 2 4. 2 4. 5 80 80 60 60 40 40 20 20 3 5 6 4 6. (i) When is the particle speeding up? (Enter your answer using interval notation.) When is it slowing down? (Enter your answer using interval notation.)
A particle moves according to a law of motion s = f(t), t2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 - 7t2 + 21t (a) Find the velocity at time t. v(t) = 3 – 14t + 21 ft/s (b) What is the velocity after 1 second? v(1) = 10 ft/s (c) When is the particle at rest? DNE (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 seconds. ft (f) Draw a diagram like this figure to illustrate the motion of the particle. t = 0 t = 6 s = 90 t = 0 t = S = 0 S = 0 S =
Transcribed Image Text:A particle moves according to a law of motion s = f(t), t2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 - 7t2 + 21t (a) Find the velocity at time t. v(t) = 3 – 14t + 21 ft/s (b) What is the velocity after 1 second? v(1) = 10 ft/s (c) When is the particle at rest? DNE (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 seconds. ft (f) Draw a diagram like this figure to illustrate the motion of the particle. t = 0 t = 6 s = 90 t = 0 t = S = 0 S = 0 S =
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