A foul tip of a baseball is hit straight upward from a height of 4 feet with an initial velocity of 64 feet per second. The function s(t) = -16t2 + 64t + 4describes the ball’s height above the ground, s(t), in feet, t seconds after it is hit. Solve, a. What is the instantaneous velocity of the ball 1 second after it is hit? 3 seconds after it is hit? b. The ball reaches its maximum height above the ground when the instantaneous velocity is zero. After how many seconds does the ball reach its maximum height? What is its maximum height?
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 foul tip of a baseball is hit straight upward from a height of 4 feet with an initial velocity of 64 feet per second. The function s(t) = -16t2 + 64t + 4
describes the ball’s height above the ground, s(t), in feet, t seconds after it is hit. Solve, a. What is the instantaneous velocity of the ball 1 second after it is hit? 3 seconds after it is hit? b. The ball reaches its maximum height above the ground when the instantaneous velocity is zero. After how many seconds does the ball reach its maximum height? What is its maximum height?
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