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a football, originally kicked at a 40 - degree angle to the horizontal, is at the peak of its trajectory. ignore air resistance.
identify the type of forces and their relative magnitude.
Step1: Analyze motion at peak
At the peak of the trajectory, the vertical - component of velocity is 0 and there is no horizontal acceleration (since no air - resistance).
Step2: Identify forces
The only force acting on the football is the gravitational force. Its magnitude is \(F = mg\), where \(m\) is the mass of the football and \(g\) is the acceleration due to gravity (\(g\approx9.8m/s^{2}\)). There are no other forces in the horizontal or vertical directions (ignoring air - resistance).
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The only force acting on the football is the gravitational force with magnitude \(mg\).