Question

A baseball is hit, and it flies through the air, and is a foul ball. It is caught in the seats near first base at a height of 18 feet. The equation relating the height over time is y= -16x2+160x+4 In feet, at what height was the baseball hit?

Answer 1

The height at which the baseball was hit is 4 feet, which is determined by substituting x = 0 into the given quadratic equation representing the height of the baseball over time.

Step-by-step explanation:

This asks at what height the baseball was hit, given the equation y = -16x2 + 160x + 4, which represents the height (y) of the baseball over time (x). To find the height at which the baseball was hit, we need to find the value of y when x is zero because x represents the time and when x is zero it corresponds to the moment the ball was hit. Substituting x = 0 in the equation, we get y = -16(0)2 + 160(0) + 4, simplifying to y = 4. The height at which the baseball was hit is therefore 4 feet.