the quadratic function h (t)=-16t^2+150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 story building. From what height in feet was the ball dropped? After how many seconds did it hit the ground?
Hello! Lets solve this :) So for the first question : h(t) = -16t^2 + 150 h(0)= -16 (0)^2 + 150 h(0)= -16(0) + 150 h(0)= 0 + 150 h(0)= 150 feet
Second question We need to find here the time when the ball hit the ground; or when the height h(t) is 0. In equation form h(t) --> 0=16t^2 + 150 16t^2 = 150 t^2=150/16 t= √150/16 t= 5√6/4 t= 5 (2.45)/4 t= 3.06 seconds
Hope this helps! If you have any other questions or would like further explanation just let me know! :)
