A particle moves according to a law of motion s = f(t), t2 0, where t is measured in seconds and s in feet.f(t) = t3 - 15t2 + 72t(a) Find the velocity at time t (in ft/s).32 – 15(21) + 72v(t) = v(b) What is the velocity (in ft/s) after 5 s?v(5) = -3v ft/s(c) When (in seconds) is the particle at rest?(smaller value) t =4(larger value) t =6.(d) When (in seconds) is the particle moving in the positive direction? (Enter your answer using interval notation.)te(e) Find the total distance (in feet) traveled during the first 7 s.ft(f) Find the acceleration at time t (in ft/s2).a(t) =Find the acceleration (in ft/s2) after 5 s.a(5) =ft/s2(g) Graph the position, velocity, and acceleration functions for the first 7 s.y150ry150r10010050502.68468150f150r100-100아50아50a2.682.68(h) When, for 0 st< o, is the particle speeding up? (Enter your answer using interval notation.)When, for 0 st

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A particle moves according to a law of motion s = f(t), t z 0, where t is measured in seconds and s in feet. f(t) = t - 15t + 72t (a) Find the velocity at time t (in ft/s). v(t) = 32 – 15(21) + 72 v (b) What is the velocity (in ft/s) after 5 s? v(5) = -3 ft/s (c) When (in seconds) is the particle at rest? (smaller value) t = 4 (larger value) t = 6 (d) When (in seconds) is the particle moving in the positive direction? (Enter your answer using interval notation.) te

A particle moves according to a law of motion s = f(t), t z 0, where t is measured in seconds and s in feet. f(t) = t - 15t + 72t (a) Find the velocity at time t (in ft/s). v(t) = 32 – 15(21) + 72 v (b) What is the velocity (in ft/s) after 5 s? v(5) = -3 ft/s (c) When (in seconds) is the particle at rest? (smaller value) t = 4 (larger value) t = 6 (d) When (in seconds) is the particle moving in the positive direction? (Enter your answer using interval notation.) te

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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