10. There is a tiny catapult on a random planet with gravity different from Earth's. The ball is launched with an initial height of 1 inch and reaches its maximum height of 8 inches after 3 seconds. (a) Considering the trajectory of the ball, why does a quadratic model seem appropri- ate? (b) Construct a quadratic function h(t) that gives the height of the ball t seconds after being fired. 13. Choose the most appropriate model from among linear, quadratic, power, exponential, logistic, and logarithmic for the functions described below. Give a brief mathematical justification for the kind of model you chose. Do not construct the model. (a) The mass of a radioactive substance decays by half every ten thousand years. (b) (c) X y 5 200 10 400 15 600 Pr(foreign) 2- of 2.00 2.50 3.00 Gear Ratio ... 3,50 4.00