The equation of motion of a particle is s = t – 4t3 + t2 - t, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity, v(t), and acceleration, a(t), as functions of t. v(t) = a(t) = (b) Find the acceleration (in m/s2) after 1.2 s. a(1.2) = m/s? (c) Graph the position, velocity, and acceleration functions on the same screen.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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The equation of motion of a particle is s = t* - 4t3 + t- - t, where s is in meters and t is in seconds. (Assume t > 0.)
(a) Find the velocity, v(t), and acceleration, a(t), as functions of t.
v(t)
a(t)
(b) Find the acceleration (in m/s2) after 1.2 s.
a(1.2) =
m/s?
(c) Graph the position, velocity, and acceleration functions on the same screen.
y
y
a
a
1
3
4
3
4
-5
-5
- 10
- 10
- 15
-15
- 20
- 20
y
y
S
a
V
II
Transcribed Image Text:The equation of motion of a particle is s = t* - 4t3 + t- - t, where s is in meters and t is in seconds. (Assume t > 0.) (a) Find the velocity, v(t), and acceleration, a(t), as functions of t. v(t) a(t) (b) Find the acceleration (in m/s2) after 1.2 s. a(1.2) = m/s? (c) Graph the position, velocity, and acceleration functions on the same screen. y y a a 1 3 4 3 4 -5 -5 - 10 - 10 - 15 -15 - 20 - 20 y y S a V II
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