A ball is thrown by a \( 2 \) meter tall person on the planet Mars. Below is a sample of the data of the height (meters) and time (seconds) of the ball. Remember gravity should be negative.
a. Fit a quadratic model of the form \( h ( t ) = 0.5 gt 2 + v 0 t + h 0 \) .
b. When will the ball reach its highest point?