Need only handwritten solution only (not typed one). A small cannonball with mass 4 kilograms is shot vertically upward with an initial velocity of110 meters per second. If the air resistance is assumed to be directly proportional to thespeed of the cannonball, a differential equation modeling the projectile velocity isdvm. = mg - kv.dt9.8 meters/second².Solve the differential equation for the velocity v(t). Don't forget to include the initialcondition.Assume that kv(t)===0.0025, and use g-Integrate the velocity to obtain the height h(t) as a function of time. Assume the cannonballis launched from ground level at t = = 0.h(t):Find the maximum height reached by the cannonball.Max height =

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A small cannonball with mass 4 kilograms is shot vertically upward with an initial velocity of 110 meters per second. If the air resistance is assumed to be directly proportional to the speed of the cannonball, a differential equation modeling the projectile velocity is m dv dt mg kv. 9.8 meters/second². Solve the differential equation for the velocity v(t). Don't forget to include the initial condition. v(t) = = Assume that k = 0.0025, and use g =

A small cannonball with mass 4 kilograms is shot vertically upward with an initial velocity of 110 meters per second. If the air resistance is assumed to be directly proportional to the speed of the cannonball, a differential equation modeling the projectile velocity is m dv dt mg kv. 9.8 meters/second². Solve the differential equation for the velocity v(t). Don't forget to include the initial condition. v(t) = = Assume that k = 0.0025, and use g =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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