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A partide moves according to a law of motion s- ft), tza, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) e) -- se + 24 (a) Find the velocity (in ft/s) at time t. vt) - 3 -18t + 24 ft/s (b) What is the velocity (in t/s) after 1 second? 1) -9 tis (c) When is the particie at rest? (Enter your answers as a comma-separated list.) t-2,4 (d) When is the particie moving in the pasitive direction? (Enter your answer using interval notation. ) [-3.0) (e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in t) traveled during the first 6 seconds. 36 (f) Find the aceleration (in ft/s) at time t. at) - Find the acceleration (in ft/s) after 1 second. a1) - tis

A partide moves according to a law of motion s- ft), tza, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) e) -- se + 24 (a) Find the velocity (in ft/s) at time t. vt) - 3 -18t + 24 ft/s (b) What is the velocity (in t/s) after 1 second? 1) -9 tis (c) When is the particie at rest? (Enter your answers as a comma-separated list.) t-2,4 (d) When is the particie moving in the pasitive direction? (Enter your answer using interval notation. ) [-3.0) (e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in t) traveled during the first 6 seconds. 36 (f) Find the aceleration (in ft/s) at time t. at) - Find the acceleration (in ft/s) after 1 second. a1) - tis

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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A partide moves according to a law of motion s- (t), tz 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) ME) - - se + 24t (a) Find the velocity (in ft/s) at time t. ut) - 32 – 18: + 24 ft/s (b) What is the velocity (in ft/s) after 1 second? (1) - 9 (c) When is the partide at rest? (Enter your answers as a comma-separated list.) t- 2,4 (d) When is the partice moving in the positive direction? (Enter your answer using interval notation.) [-3,) (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. () Find the acceleration (in ft/s) at time t. alt) - ft/s2 Find the acceleration (in ft/s) after 1 second. a(1) - (9) Graph the position, velocity, and acceleration functions for 0sts6. 20 10 10 10 1 2 4 1 -10- -10 -10- -10h (h) When is the partidle speeding up? (Enter your answer using interval notation.)
Transcribed Image Text:A partide moves according to a law of motion s- (t), tz 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) ME) - - se + 24t (a) Find the velocity (in ft/s) at time t. ut) - 32 – 18: + 24 ft/s (b) What is the velocity (in ft/s) after 1 second? (1) - 9 (c) When is the partide at rest? (Enter your answers as a comma-separated list.) t- 2,4 (d) When is the partice moving in the positive direction? (Enter your answer using interval notation.) [-3,) (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. () Find the acceleration (in ft/s) at time t. alt) - ft/s2 Find the acceleration (in ft/s) after 1 second. a(1) - (9) Graph the position, velocity, and acceleration functions for 0sts6. 20 10 10 10 1 2 4 1 -10- -10 -10- -10h (h) When is the partidle speeding up? (Enter your answer using interval notation.)
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