A ball is to be shot with a certain speed Vo at varios angles(theta). The launch

Question

A ball is to be shot with a certain speed Vo at varios angles(theta). The launch angles determine both the time of flightt and the minimum speed Vmin the ball will have during its flight,which means they can be related to each other. At some angle,the ball will have a maximum possible time of flight. Call this time Tmax. Find a formula which givesthe ratio of Vmin to Vo in terms of t, Tmax, andg(gravity). Please explain each step. I rate lifesaver tothose who explain clearly. Thanks A ball is to be shot with a certain speed Vo at varios angles(theta). The launch angles determine both the time of flightt and the minimum speed Vmin the ball will have during its flight,which means they can be related to each other. At some angle,the ball will have a maximum possible time of flight. Call this time Tmax. Find a formula which givesthe ratio of Vmin to Vo in terms of t, Tmax, andg(gravity). Please explain each step. I rate lifesaver tothose who explain clearly. Thanks Please explain each step. I rate lifesaver tothose who explain clearly. Thanks

Explanation / Answer

At = 90o, the ball will have maximumpossible time of flight. Therefore Tmax= 2Vo / g During the flight the minimum velocity of the ball isVmin = Vocos      Then Vmin / Vo= cos         = [1-sin2]         = [1-(gt / gTmax)2]         =[1- t /Tmax )2]

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