Instantaneous Velocity The velocity of a moving object at a point during its motion can be determined using derivatives. Given the function of the velocity of an object to be f(x) - 2, where f is the velocity, and x is the time in seconds. = -x? + 6x Find the instantaneous velocity of the object at the following instances: a. at the end of 1 second b. at the end of 3 seconds c. at the end of 5 seconds At what time is the object increasing or decreasing its velocity?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
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B. Directions: Read and analyse the word problem and answer the follow-up
questions below.
Instantaneous Velocity
The velocity of a moving object at a point during its motion can be determined
using derivatives. Given the function of the velocity of an object to be f(x) = -x? +
6x - 2, where f is the velocity, and x is the time in seconds.
Find the instantaneous velocity of the object at the following instances:
a. at the end of 1 second
b. at the end of 3 seconds
c. at the end of 5 seconds
At what time is the object increasing or decreasing its velocity?
Transcribed Image Text:B. Directions: Read and analyse the word problem and answer the follow-up questions below. Instantaneous Velocity The velocity of a moving object at a point during its motion can be determined using derivatives. Given the function of the velocity of an object to be f(x) = -x? + 6x - 2, where f is the velocity, and x is the time in seconds. Find the instantaneous velocity of the object at the following instances: a. at the end of 1 second b. at the end of 3 seconds c. at the end of 5 seconds At what time is the object increasing or decreasing its velocity?
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