Please help

Question

A batter hits a fly ball. A scout in the stands makes the following observations.

Time(seconds).75, 1.5, 2, 2.75, 3.25, 4.75

Height(feet) 77, 133, 160, 187, 194, 169

 

The function is Quadratic
The best-fit equation is Y=-15.90x^2+ 110.48x +3.02

Determine the initial velocity of the baseball and the height of the ball when hit. Round to the nearest hundredth.

Answer 1

The height of the ball when hit is when time x = 0. substitute 0 in the equation and solve for y. The height is 3.02

To find the velocity at time x =0 consider the three components of position Y.

in ax^2+bx+c. ax^2 represents the change in position because of gravity. bx represents change in position because of the initial velocity given to the ball. And c represents the initial height of the ball. Thus the initial velocity is the b term: 110.48.