>Question 1 of 18Paddle ball is a solitary game where a small rubber ball is bounced on apaddle to which it is connected with a pieceof elasticThe 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 anupward motions(t)2.14 1.0t3 3.2t2 2.8t 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 itsupward motion? Round each answer to one decimal place.dm/sv(1.0)dm/s2a(1.0)dm/s3j(1.0)dm/s4Р(1.0) —

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Asked Oct 11, 2019
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Question 1 of 18
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)2.14 1.0t3 3.2t2 2.8t 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.
dm/s
v(1.0)
dm/s2
a(1.0)
dm/s3
j(1.0)
dm/s4
Р(1.0) —
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> Question 1 of 18 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)2.14 1.0t3 3.2t2 2.8t 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. dm/s v(1.0) dm/s2 a(1.0) dm/s3 j(1.0) dm/s4 Р(1.0) —

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Expert Answer

Step 1

The motion of the rubber ball is modeled by the equation

S(t)= -2.1t4+1.0t3+3.2t2+2.8t+0.2

Find the values of velocity (v), acceleration (a), jerk(j) and snap(p) 1.0s after the paddle starts is upward motion?

Step 2

Given S(t)= -2.1t4+1.0t3+3.2t2+2.8t+0.2

Velocity (v)= ds/dt

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s(t) -2.1t+1.0t3+3.2t2+2.8t+0.2 velocity(v)- d(s) dt =-4(2.1)t+3(1.0)t+2(3.2)t'+2.8 =-8.4t+3.0t2+6.4t +2.8 v (1)-8.4(1)3.0(1) +6.4(1)+2.8 =-8.4+3.0+6.4+2.8 =3.8. dm/s

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Step 3

Acceleration(a)&nb...

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s(t) -2. 1t+1.0t'+3.2t2+2.8t+0.2 (A)p dt acceleration (a) v-8.4t3+3.0+6.4t +2.8 dv) -8.4(3)t2+3.0(2)t+6.4 dt =-25.2t2+6t+6.4 a (1)25.2()+6(1)+6.4 =-12.8dm/s

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