A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane Is 8. The distance (in meters)the ball bearing rolls In t seconds is s(t) = 4.9(sin e)t2.(a) Determine the speed of the ball bearing after t seconds.m/s(b) Complete the table.R/4x/3R/2s'(t)2x/3Зя/4s'(t)Use the table to determine the value of e that produces the maximum speed at a particular time.

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Answered: A ball bearing is placed on an inclined…

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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An object is projected upward from ground level with an initial velocity of 500 feet per second. In this exercise, the goal is to analyze the motion of the object during its upward flight. dv/ dt = -(32 + kv2) where 32 feet per second per second is the acceleration due to gravity and k is a constant. Find the velocity as a function of time by solving the equation { dv /32 + kv2 = - } dt.
a cylindrical tank is filled with 31.4 m3 of water at t = 0. The radius of the tank is 1 m and its height is 10 m. There is an outlet line with a radius of 0.1 m at the bottom of the tank. What is the time required for half of the water in the tank to drain after the outlet line is opened?The flow velocity of water from the bottom of the water tank is related to the height of the water in the tank, and this relationship is expressed by the formula v= (squareroot2gh) v: (m / sec) linear flow velocity, g: gravitational acceleration (10 m / sec2) and h: (m) height.
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