(d) When is the particle moving in the positive direction for 0 st S 6? (Enter your answer using interval notation.) 0,1 (e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds. ft (f) Find the acceleration (in ft/s) at time t. a(t) = | 6 ft/s2 Find the acceleration (in ft/s²) after 1 second. a(1) = ft/s2 (g) Graph the position, velocity, and acceleration functions for 0 st s 6.
(d) When is the particle moving in the positive direction for 0 st S 6? (Enter your answer using interval notation.) 0,1 (e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds. ft (f) Find the acceleration (in ft/s) at time t. a(t) = | 6 ft/s2 Find the acceleration (in ft/s²) after 1 second. a(1) = ft/s2 (g) Graph the position, velocity, and acceleration functions for 0 st s 6.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
H) what is the speeding up
What is slowing down
( using interval notation)
Transcribed Image Text:(d) When is the particle moving in the positive direction for 0 s t s 6? (Enter your answer using interval notation.)
0,1
(e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds.
ft
(f) Find the acceleration (in ft/s2) at time t.
a(t) = 6
ft/s?
Find the acceleration (in ft/s²) after 1 second.
a(1) =
ft/s?
(g) Graph the position, velocity, and acceleration functions for 0 < t 6.
3
2
3
1
a
-2
D0-3
Transcribed Image Text:A graphing calculator is recommended.
A particle moves according to a law of motion s = f(t), t2 0, wheret is measured in seconds and s in feet. (If an answer does not exist, enter DNE.)
nt
f(t) = sin
(a) Find the velocity (in ft/s) at time t.
T COS
v(t) =
ft/s
2
(b) What is the velocity (in ft/s) after 1 second?
v(1) = 0
ft/s
(c) When is the particle at rest? (Use the parameter n as necessary to represent any integer.)
t = 2n + 1
(d) When is the particle moving in the positive direction for 0 sts 6? (Enter your answer using interval notation.)
0,1
(e) Draw a diagram to illustrate the motion of the particle and use it to find the total distance (in ft) traveled during the first 6 seconds.
ft
(f) Find the acceleration (in ft/s2) at time t.
a(t) = 6
ft/s2
Find the acceleration (in ft/s2) after 1 second.
a(1) =
ft/s2
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