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A particle located at the origin at t = 1 second moves along the x-axis with velocity v(t) = (9r² – t) m/s. State the %3D differential equation with its initial condition satisfied by the position s(?) of the particle, and find s(t). (Express numbers in exact form. Use symbolic notation and fractions where needed.) ds dt s(t) = II

A particle located at the origin at t = 1 second moves along the x-axis with velocity v(t) = (9r² – t) m/s. State the %3D differential equation with its initial condition satisfied by the position s(?) of the particle, and find s(t). (Express numbers in exact form. Use symbolic notation and fractions where needed.) ds dt s(t) = II

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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A particle located at the origin at t = 1 second moves along the x-axis with velocity v(t) = (9t2 – t) m/s. State the differential equation with its initial condition satisfied by the position s(t) of the particle, and find s(t). (Express numbers in exact form. Use symbolic notation and fractions where needed.) ds dt s(t)
Transcribed Image Text:A particle located at the origin at t = 1 second moves along the x-axis with velocity v(t) = (9t2 – t) m/s. State the differential equation with its initial condition satisfied by the position s(t) of the particle, and find s(t). (Express numbers in exact form. Use symbolic notation and fractions where needed.) ds dt s(t)
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