The function s(t) describes the positio of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = 1* – 3212 + 256, t20 If appropriate, enter answers in radical form. Use inf to represent co. (a) Find the velocity and acceleration functions. v(t): a(t): (b) Find the position, velocity, speed, and acceleration at t 3. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec?): (c) At what times is the particle stopped? Enter as a comma-separated list. t=

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 35AP: A person going for a walk follows the path shown in Figure P3.35. The total trip consists of four...
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The function s(t) describes the position
of a particle moving along a coordinate line,
where s is in feet and t is in seconds.
s(t) = t* – 32t? + 256,
t > 0
If appropriate, enter answers in radical form.
Use inf to represent co.
(a) Find the velocity and acceleration functions.
v(t):
a(t):
(b) Find the position, velocity, speed, and
acceleration at t = 3.
Position (ft):
Velocity (ft/sec):
Speed (ft/sec):
Acceleration (ft/sec2 ):
(c) At what times is the particle stopped? Enter
as a comma-separated list.
t=
(d) When is the particle speeding up? Slowing
down? Enter using interval notation.
Speeding up:
Slowing down:
Transcribed Image Text:The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = t* – 32t? + 256, t > 0 If appropriate, enter answers in radical form. Use inf to represent co. (a) Find the velocity and acceleration functions. v(t): a(t): (b) Find the position, velocity, speed, and acceleration at t = 3. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec2 ): (c) At what times is the particle stopped? Enter as a comma-separated list. t= (d) When is the particle speeding up? Slowing down? Enter using interval notation. Speeding up: Slowing down:
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