A particle moves according to a law of motion s = f(t) = t3 - 15t2 + 72t, tz 0, where t is measured in seconds and s in feet.%3D(a) Find the velocity at time t.v(t) =ft/s(b) What is the velocity after 1 s?v(1) =ft/s(c) When is the particle at rest?s (smaller value)s (larger value)t =t =(d) When is the particle moving in the positive direction? (Enter your answers in ascending order. If you need to use-co or o, enter -INFINITY or INFINITY.)])uc[(e) Find the total distance traveled during the first 9 s.feet(f) Draw a diagram to illustrate the motion of the particle. (Do this on paper. Your instructor may ask you to turn inthis graph.)(g) Find the acceleration at time t and after 1s.a(t) =a(1)ft/s2(h) Graph the position, velocity, and acceleration functions for 0

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A particle moves according to a law of motion s = f(t) = t - 1522 + 72t, t> 0, where t is measured in seconds and s in feet. %3D (a) Find the velocity at time t. v(t) = ft/s (b) What is the velocity after 1 s? v(1) = | | ft/s (c) When is the particle at rest? s (smaller value) |s (larger value) t = t =

A particle moves according to a law of motion s = f(t) = t - 1522 + 72t, t> 0, where t is measured in seconds and s in feet. %3D (a) Find the velocity at time t. v(t) = ft/s (b) What is the velocity after 1 s? v(1) = | | ft/s (c) When is the particle at rest? s (smaller value) |s (larger value) t = t =

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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...

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