Do number 1 and 2 CalculusO 201 6 KutaNameID: 1Softw ar e LLC.A 11rig hts rCserved.Motion ReviewDatePeriodA particle moves along a horizontal line. Its position function is s(t) for t2 0. For eachproblem, find the velocity function vt), the acceleration function a(t), the times t when theparticle changes directions, the intervals of time when the particle is moving left and movingright, and the times t when the acceleration is 0.1) s() = r – 912) s(t) = r- 281 + 196tA particle moves along a horizontal line. Its position function is s(r) for t2 0. For eachproblem, find the position, velocity, speed, and acceleration at the given value for t.4) s(1) = - 30/² + 225r: at 1 43) sl)=-- 561; at - 6

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Description: Do number 1 and 2 CalculusO 201 6 KutaNameID: 1Softw ar e LLC.A 11rig hts rCserved.Motion ReviewDatePeriodA particle moves along a horizontal line. Its position function is s(t) for t2 0. For eachproblem, find the velocity function vt), the accelerat

Answered: Calculus O 201 6 Kuta Softw are LLC.…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Do number 1 and 2

Calculus
O 201 6 Kuta
Name
ID: 1
Softw ar e LLC.
A 11
rig hts rCserved.
Motion Review
Date
Period
A particle moves along a horizontal line. Its position function is s(t) for t2 0. For each
problem, find the velocity function vt), the acceleration function a(t), the times t when the
particle changes directions, the intervals of time when the particle is moving left and moving
right, and the times t when the acceleration is 0.
1) s() = r – 91
2) s(t) = r- 281 + 196t
A particle moves along a horizontal line. Its position function is s(r) for t2 0. For each
problem, find the position, velocity, speed, and acceleration at the given value for t.
4) s(1) = - 30/² + 225r: at 1 4
3) sl)=-- 561; at - 6

Expert Solution

Step 1

Note : There are many subparts and questions in the given questions. So I will answer the first two subparts

from the both questions. Please send other questions separately.

(1)

Given :

The positions functions is $s (t)$ for $t \geq 0$ :

$s (t) = t^{3} - 9 t^{2}$

(a) The velocity function $v (t)$ :

For the velocity function differentiate $s (t)$ with respect to $t$ :

$\Rightarrow v (t) = s' (t) = 3 t^{2} - 18 t$

Hence, the velocity function is $v (t) = 3 t^{2} - 18 t$

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