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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Question
Can someone please help me with the last one
![Suppose that the equation of motion for a particle (where \( s \) is in meters and \( t \) in seconds) is
\[ s = \frac{1}{3}t^3 - 7t^2 + 49t + 7 \]
(a) Find the velocity and acceleration as functions of \( t \).
- Velocity at time \( t = t^2 - 14t + 49 \)
- Acceleration at time \( t = 2t - 14 \)
(b) Find the acceleration after 1 second.
- Acceleration after 1 second: \(-12\)
(c) Find the acceleration at the instant when the velocity is 0.
- Acceleration: \(-14\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8afd835b-b164-4187-8cbf-01a7fb9b88d5%2F42d0272c-a2dc-47f8-a80e-e7b988564be5%2Fvf14q8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that the equation of motion for a particle (where \( s \) is in meters and \( t \) in seconds) is
\[ s = \frac{1}{3}t^3 - 7t^2 + 49t + 7 \]
(a) Find the velocity and acceleration as functions of \( t \).
- Velocity at time \( t = t^2 - 14t + 49 \)
- Acceleration at time \( t = 2t - 14 \)
(b) Find the acceleration after 1 second.
- Acceleration after 1 second: \(-12\)
(c) Find the acceleration at the instant when the velocity is 0.
- Acceleration: \(-14\)
Expert Solution
Step 1
We can answer the last question as per the definition of acceleration in the below steps.
Step by step
Solved in 2 steps
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