(e) Find the total distance traveled during the first 10 s. 43 x 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 4 s. a(t) = a(4) = Xft/s2 Enter a number. (h) Graph the position, velocity, and acceleration functions for 0
(e) Find the total distance traveled during the first 10 s. 43 x 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 4 s. a(t) = a(4) = Xft/s2 Enter a number. (h) Graph the position, velocity, and acceleration functions for 0
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 motions = f(t) = 0.01t -0.12t3, t> 0, where t is measured in seconds and s in feet.
(a) Find the velocity at time t.
v(1) = 0.04 - 0.367?
ft/s
(b) What is the velocity after 4 s?
v(4) = 32
V ft/s
(c) When is the particle at rest?
t =0
V s (first time)
t =9
v s (second time)
(d) When is the particle moving in the positive direction? (If you need to use -co or co, enter -INFINITY or INFINITY.)
( 9
infinity
(e) Find the total distance traveled during the first 10 S.
43
X 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 4 s.
a(t) =
a(4) =|
x ft/s?
Enter a number.
(h) Graph the position, velocity, and acceleration functions for 0 <t S 10. (Do this on paper. Your instructor may ask you to turn in this graph.)
(1) When is the particle speeding up? (If you need to use -o or o, enter -INFINITY or INFINITY.)
When is it slowing down?
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