Adam takes his remote control boat down to race it around his pond. He sets it in the water next to the dock and recognizes the position function of the boat, in relation to the end of the dock, as it travels away from him is given as ?(?)=3?4 −5?3 +?–6feet where t is the time (in seconds) since the boat started moving. Find the distance the boat is away from the end of the dock after 3 seconds. State the equation for the velocity of the boat. Find the velocity of the boat after 3 seconds. State the equation for the acceleration of the boat. Find the rate at which the boat is accelerating after 3 seconds.

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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Adam takes his remote control boat down to race it around his pond. He sets it in the water next to the dock and recognizes the position function of the boat, in relation to the end of the dock, as it travels away from him is given as

?(?)=3?4 −5?3 +?–6feet
where t is the time (in seconds) since the boat started moving.

  1. Find the distance the boat is away from the end of the dock after 3 seconds.

  2. State the equation for the velocity of the boat.

  3. Find the velocity of the boat after 3 seconds.

  4. State the equation for the acceleration of the boat.

  5. Find the rate at which the boat is accelerating after 3 seconds.

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