A toy rocket is fired straight up into the air. Let s(t) = −8t² +102t denote its position in feet after t seconds.1. What is the rocket initial velocity at t = 0?2. Find the velocity after t = 3 seconds.3. Find the acceleration after t seconds.4. Find the acceleration after t = 3 seconds.-16t+1025. At what time does the rocket reach its maximum height? -6.38sRound your answer to TWO decimal places if needed.

Topic:- function and it's derivatives

Answered: mat is the rocket initial velocity at…

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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mat is the rocket initial velocity at t=0? -16t+102 d the velocity after t = 3 seconds. d the acceleration after t seconds. d the acceleration after t = 3 seconds. what time does the rocket reach its maximum height? -6.38s Round your answer to TWO dec