The equation of motion of a particle is s = 2t3 - 9t2 + 4t + 4, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) = m/s2 (c) Graph the position, velocity, and acceleration functions on the same screen. S 20 15 15 10 10 5. 5 v 3 4 -5 -5 - 10 - 10 - 15 O-15 – 20 S 15 20 10 15 10 V -5 -10
The equation of motion of a particle is s = 2t3 - 9t2 + 4t + 4, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity and acceleration as functions of t. v(t) = a(t) = (b) Find the acceleration after 1 s. a(1) = m/s2 (c) Graph the position, velocity, and acceleration functions on the same screen. S 20 15 15 10 10 5. 5 v 3 4 -5 -5 - 10 - 10 - 15 O-15 – 20 S 15 20 10 15 10 V -5 -10
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 59HP
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![The equation of motion of a particle is s = 2t3 - 9t2 + 4t + 4, where s is in meters and t is in seconds. (Assumet2 0.)
(a) Find the velocity and acceleration as functions of t.
v(t) =
a(t) =
(b) Find the acceleration after 1 s.
a(1) =
m/s2
(c) Graph the position, velocity, and acceleration functions on the same screen.
20
15
15
10
10
5.
5
v 3
4
-5
-5
- 10
-10
- 15
O-15
– 20
S
15
20
10
15
10
2
-5
-10아](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F026cfa1a-5a93-422c-8df9-6e521536a9ec%2Fa45c3870-2336-4b4a-81af-b284dc549f49%2F4pdlqtf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The equation of motion of a particle is s = 2t3 - 9t2 + 4t + 4, where s is in meters and t is in seconds. (Assumet2 0.)
(a) Find the velocity and acceleration as functions of t.
v(t) =
a(t) =
(b) Find the acceleration after 1 s.
a(1) =
m/s2
(c) Graph the position, velocity, and acceleration functions on the same screen.
20
15
15
10
10
5.
5
v 3
4
-5
-5
- 10
-10
- 15
O-15
– 20
S
15
20
10
15
10
2
-5
-10아
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