A particle moves according to a law of motion s f(t), t2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = 3 - 712 + 22t (a) Find the velocity at time t. v(t) = 312 – 14t + 22 ft/s (b) What is the velocity after 1 second? v(1) = 11 ft/s (c) When is the particle at rest?
A particle moves according to a law of motion s f(t), t2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = 3 - 712 + 22t (a) Find the velocity at time t. v(t) = 312 – 14t + 22 ft/s (b) What is the velocity after 1 second? v(1) = 11 ft/s (c) When is the particle at rest?
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), t2 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.)
f(t) = 13 - 7t2 + 22t
(a) Find the velocity at time t.
v(t) = 31 – 14t + 22 ft/s
(b) What is the velocity after 1 second?
v(1) = 11
ft/s
(c) When is the particle at rest?
(d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)
7
t>
3
(e) Find the total distance traveled during the first 6 seconds.
96
ft
(f) Draw a diagram like this figure to illustrate the motion of the particle.
Transcribed Image Text:a(t) =
ft/s2
a(1) =
ft/s?
(h) Graph the position, velocity, and acceleration functions for 0sts 6. (A graphing calculator is recommended.)
100
100
80
80
60
60
40
40
20
20
3
4
2
3
6.
O-20
O-20
100
100
80
80
60
60
40
40
20
20
3
4
5
6.
О-20
4
6.
0-20
(i) When
the particle speeding up? (Enter your answer using interval notation.)
When is it slowing down? (Enter your answer using interval notation.)
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