A ball is thrown straight up from a rooftop 96 feet high with an initial velocity of 80 feet per second. The function s(t) = -16t2 + 80t + 96 describes the ball’s height above the ground, s(t), in feet, t seconds after it is thrown. The ball misses the rooftop on its way down and eventually strikes the ground. What is its instantaneous velocity as it passes the rooftop on the way down?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
A ball is thrown straight up from a rooftop 96 feet high with an initial velocity of 80 feet per second. The function s(t) = -16t2 + 80t + 96 describes the ball’s height above the ground, s(t), in feet, t seconds after it is thrown. The ball misses the rooftop on its way down and eventually strikes the ground. What is its instantaneous velocity as it passes the rooftop on the way down?
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