A particle moves according to a law of motion s = f(t) = t3 - 15t2 + 72t, t2 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. v(t) = 3t – 30t + 72 ft/s (b) What is the velocity after 1 s? v(1) = 45 ft/s (c) When is the particle at rest? v s (smaller value) V s (larger value) t = 4 t = 6 (d) When is the particle moving in the positive direction? (Enter your answers in ascending order. If you need to use -o or o, enter -INFINITY or 4 v )u( 6 INFINITY (e) Find the total distance traveled during the first 9 s. 170 V feet (f) Draw a diagram to illustrate the motion of the particle. (Do this on paper. Your instructor may ask you to turn in this graph.) (g) Find the acceleration at time t and after 1 s. a(t) = 6t – 30 a(1) = -24 ft/s2 (h) Graph the position, velocity, and acceleration functions for 0
A particle moves according to a law of motion s = f(t) = t3 - 15t2 + 72t, t2 0, where t is measured in seconds and s in feet. (a) Find the velocity at time t. v(t) = 3t – 30t + 72 ft/s (b) What is the velocity after 1 s? v(1) = 45 ft/s (c) When is the particle at rest? v s (smaller value) V s (larger value) t = 4 t = 6 (d) When is the particle moving in the positive direction? (Enter your answers in ascending order. If you need to use -o or o, enter -INFINITY or 4 v )u( 6 INFINITY (e) Find the total distance traveled during the first 9 s. 170 V feet (f) Draw a diagram to illustrate the motion of the particle. (Do this on paper. Your instructor may ask you to turn in this graph.) (g) Find the acceleration at time t and after 1 s. a(t) = 6t – 30 a(1) = -24 ft/s2 (h) Graph the position, velocity, and acceleration functions for 0
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
Related questions
Question
Only question i
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning