Paddle ball is a solitary game where a small rubber ball is bounced on a paddle to which it is connected with a piece of elastic. The motion of the rubber ball can be modeled by the equation shown, where s(t) represents the vertical position in decimeters (dm) of the ball's center of mass relative to its starting position at rest on the paddle t seconds after the paddle is put into an upward motion. s(t) = -2.0t4 + 1.4t³ + 3.5t2 + 2.9t + 0.2 What are the values of the ball's velocity (v), acceleration (a), jerk (j), and snap (p) 1.0 s after the paddle starts its upward motion? Round each answer to one decimal place. v(1.0) = dm/s a(1.0) = dm/s? j(1.0) = dm/s3 p(1.0) = dm/s4

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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Paddle ball is a solitary game where a small rubber ball is bounced on a paddle to which it is connected with a piece
of elastic.
The motion of the rubber ball can be modeled by the equation shown, where s(t) represents the vertical position in
decimeters (dm) of the ball's center of mass relative to its starting position at rest on the paddle t seconds after the paddle
is
put
into an upward motion.
s(t) = -2.014 + 1.4t³ + 3.5t2 + 2.9t + 0.2
What are the values of the ball's velocity (v), acceleration (a), jerk (j), and snap (p) 1.0 s after the paddle starts its
upward motion? Round each answer to one decimal place.
v(1.0) :
dm/s
a(1.0) =
dm/s?
j(1.0)
dm/s3
4
Р(1.0) %—
dm/s
Transcribed Image Text:Paddle ball is a solitary game where a small rubber ball is bounced on a paddle to which it is connected with a piece of elastic. The motion of the rubber ball can be modeled by the equation shown, where s(t) represents the vertical position in decimeters (dm) of the ball's center of mass relative to its starting position at rest on the paddle t seconds after the paddle is put into an upward motion. s(t) = -2.014 + 1.4t³ + 3.5t2 + 2.9t + 0.2 What are the values of the ball's velocity (v), acceleration (a), jerk (j), and snap (p) 1.0 s after the paddle starts its upward motion? Round each answer to one decimal place. v(1.0) : dm/s a(1.0) = dm/s? j(1.0) dm/s3 4 Р(1.0) %— dm/s
Expert Solution
Step 1

Given:

st=-2.0t4+1.4t3+3.5t2+2.9t+0.2

To Find: 

Velocity v, acceleration a, jerk j, and snap p after 1.0 s

 

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