The path of a projectile can be modeleday theequationh-any The path of a projectile can be modeled by the equation h where h is the vertical height of the object at time t, h, is the initial height of the object, v, is the initial velocity of the object, and a is the acceleration due to gravity. In our scenerio, since the height of the object is in meters, a should equal about -9.8 since this is the acceleration due to gravity. Check your equation and see if that is pretty close. Notice that your coefficient of f is l times a so your coefficient of should be about -4.9. Also, in your sketch, does your parabola open up or down? ar' where h is 2 What part of your quadratic equation tells whether the graph should open up or down? In your equation, what is the initial height (the height when time, t 0) of the ball relative to the cliff? Why do you think this is? in the equation or the coefficient of the t In your equation, what is the initial velocity of the ball term)? Exercises For the data sets below: a. determine the domain and range, b. plot the data on graph paper making sure to label your "window" on your paper c. sketch a quadratic of best fit, d. enter the data into your calculator e. find the quadratic of best fit.
