A particle moves according to a law of motion s= f(t), t20, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t)=-9² +24t (a) Find the velocity (in ft/s) at time t. v(t) = ft/s (b) What is the velocity (in ft/s) after 1 second? v(1) = ft/s (c) When is the particle at rest? (Enter your answers as a comma-separated list.) t= (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)
A particle moves according to a law of motion s= f(t), t20, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t)=-9² +24t (a) Find the velocity (in ft/s) at time t. v(t) = ft/s (b) What is the velocity (in ft/s) after 1 second? v(1) = ft/s (c) When is the particle at rest? (Enter your answers as a comma-separated list.) t= (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A particle moves according to a law of motion s= f(t), tz 0, where t is measured in seconds and sin feet. (If an answer does not exist, enter DNE.)
f(t)=³-9t² +24t
(a) Find the velocity (in ft/s) at time t.
v(t) =
fu/s
(b) What is the velocity (in ft/s) after 1 second?
v(1)
ft/s
(c) When is the particle at rest? (Enter your answers as a comma-separated list.)
t=
(d) When is the particle moving in the positive direction? (Enter your answer using interval notation.)
(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.
(1) Find the acceleration (in ft/s) at time t.
a(t)=
fu/s²
Find the acceleration (in ft/s) after 1 second.
(1)=
fu/s²
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