SOLUTION: A kicker punts the football from 3 feet above the ground with a velocity of 47 feet per second. Write an equation that gives the height in feet of the football as a function of th

The equation is


    h(t) = .


Here t is the time after punting (in seconds); h(t) is the height above the ground, in feet.


I assume that the initial velocity 47 ft/s is directed vertically up, although the condition is silent about it.


In this equation:


    - the coefficient -16 at t^2 is the (negative) half of the gravity acceleration at the Earth surface, expressed in ft/s^2;

    - 47 is the initial velocity, in ft/s;   and

    - 3 is initial height, in feet.