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Trevor, imprisoned in a cell, wishes to get a message to his friend, Franklin who is...

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Advance Math

Trevor, imprisoned in a cell, wishes to get a message to hisfriend, Franklin who is loitering outside a wall surrounding hisprison. Trevor has wrapped his message round a stone, and intendsto throw it from his prison cell window, over the wall, to landwhere Franklin can retrieve it. Trevor can throw the stone at 16m/s. The cell window from which he can throw the stone is 6 m abovethe level ground outside the prison. The wall rises 10 m above theground outside the prison, and is at a horizontal distance of 20 mfrom Trevor’s cell window. The stone has mass 0.2 kg.

a) Suppose that Trevor throws the stone at an angle of 2? / 9radians (40 degrees) above the horizontal. Describe whether thestone will clear the wall, neglecting air resistance.

b) Analyze what range of launch angles will enable Trevor to getthe stone over the wall, if air resistance can be neglected?

c) Trevor wants to throw the stone so that it lands as far aspossible from the wall, to reduce the chances of Franklin beingdetected as he searches for it. Describe what launch angle shouldhe choose (still neglecting air resistance and stone must clear thewall)? For this launch angle, analyze how far beyond the wall willthe stone land?

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