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# 2GM So VoSuppose projectile is launched vertically from the surface r = R of the earth with initial velocity Vownere K2 = 2GM. Solve the differentialequationexplici...

## Question

###### 2GM So VoSuppose projectile is launched vertically from the surface r = R of the earth with initial velocity Vownere K2 = 2GM. Solve the differentialequationexplicitly to deduce that rft)-m ast-02GM deduce that(b) If the projectile is launched vertically with initial velocity Vo+0 >Why does it again follow that rlt)-+o as t-+0?(a) Identify the given information from the following choicesDA; Aprojectile is launched vertically from the surface r = R 2GM Initial velocity is VoDc Aprojectile is l

2GM So Vo Suppose projectile is launched vertically from the surface r = R of the earth with initial velocity Vo wnere K2 = 2GM. Solve the differential equation explicitly to deduce that rft)-m ast-0 2GM deduce that (b) If the projectile is launched vertically with initial velocity Vo +0 > Why does it again follow that rlt)-+o as t-+0? (a) Identify the given information from the following choices DA; Aprojectile is launched vertically from the surface r = R 2GM Initial velocity is Vo Dc Aprojectile is launched vertically from the surface r = 3R 2GM Initia velocity iS Vo The differential equation Solving the differential equation gives Substituting r = R at t= 0 gives r(t) = As t approaches infinity; r(t) approaches (b) Let a be the extra velocity with which the projectile will be launched, then Vo The initial velocity; Vo, is As & > 0, 2GM When the initial velocity exceeds the projectile the earth: As t approaches infinity; r(t) approaches

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