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Calculus/Calculus-Acceleration, velocity and position

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Expert: - 4/28/2008


Question
A projectile is fired straight up from a platformn 10 feet above the ground, with intial velocity of 160ft/s.  The only force affecting the motion of the projectile during its flight is from gravity, which produces a downward acceleration of 32 ft/s^2.  Find an equation for the height of the projectile above the ground as a function of time t if t=0 when the projectile is fired.

Answer
The initial velocity is 160ft/s.  This would lead to a 160t where t is measured in seconds.  Gravity has a force of 32ft/s^2.  This would lead to a -16t^2.  Put these together and you get the equation.

Thanks for the question and feel free to ask more about this or any other question in physics or mathematics.

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