A particle moves according to a law of motion s = f(t) = P - 15t + 72t, tz 0, where t is measured in seconds and s in feet. (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) (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.) (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 in this graph.) (9) Find the acceleration at time t and after 1 s. a(t) = a(1) = ft/s2 (h) Graph the position, velocity, and acceleration functions for 0sts 9. (Do this on paper. Your instructor may ask you to turn in this graph.) (i) When is the particle speeding up? (Enter your answers in ascending order. If you need to use -o or o, enter -INFINITY or INFINITY.) When is it slowing down?
A particle moves according to a law of motion s = f(t) = P - 15t + 72t, tz 0, where t is measured in seconds and s in feet. (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) (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.) (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 in this graph.) (9) Find the acceleration at time t and after 1 s. a(t) = a(1) = ft/s2 (h) Graph the position, velocity, and acceleration functions for 0sts 9. (Do this on paper. Your instructor may ask you to turn in this graph.) (i) When is the particle speeding up? (Enter your answers in ascending order. If you need to use -o or o, enter -INFINITY or INFINITY.) When is it slowing down?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text: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.
(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 -o or o, enter -INFINITY or INFINITY.)
(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 in this graph.)
(g) Find the acceleration at time t and after 1 s.
a(t) =
a(1) = |
ft/s2
(h) Graph the position, velocity, and acceleration functions for 0Sts 9. (Do this on paper. Your instructor may ask you to turn in this graph.)
(i) When is the particle speeding up? (Enter your answers in ascending order. If you need to use -co or o, enter -INFINITY or INFINITY.)
When is it slowing down?
(
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