TuongQuach
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For the diagram overleaf solve the problems by at least two different methods.
Firstly use you knowledge of the equations of motion for motion under gravity
where air resistance is neglected.
Secondly, knowing the shape of the curve, find the relationship between height
and horizontal distance using the same datum as the question.
Once you have the equation for the curve the ball takes differentiate with respect
to t as appropriate and after some manipulation find the time taken, the
horizontal velocity and the acceleration due to gravity.
Of course check that both methods deliver the same result.
Can you think of a third approach?
Firstly use you knowledge of the equations of motion for motion under gravity
where air resistance is neglected.
Secondly, knowing the shape of the curve, find the relationship between height
and horizontal distance using the same datum as the question.
Once you have the equation for the curve the ball takes differentiate with respect
to t as appropriate and after some manipulation find the time taken, the
horizontal velocity and the acceleration due to gravity.
Of course check that both methods deliver the same result.
Can you think of a third approach?