You are try to dunk a basketball. You need to jump 2.5 feet in the air to dunk the ball. The height that your feet need to be of the ground is given by the function h(t)= _ 16t2+12r. What is the maximum height your feet will be above the ground? Will you be able to dunk the ball?

Answer:1)he maximum height your feet will be above the ground is 2.252)Will you be able to dunk the ball= NoStep-by-step explanation:Given:In order to dunk the basket ball, height needed to jump= 2.5 feetThe height that your feet need to be of the ground is given by the function h(t)= -16t^2+12t1) the maximum height your feet will be above the ground=?Given function of height,h(x)=-16t^2+12tfinding maximun of the above functionThe maximum of any function written in form of ax^2+bx+c is given bymax= c - (b2 / 4a)Putting values c=0, b=12 and a=16, we getmax= 0-(12^2/4(-16))       = 144/64       =2.25 feethe maximum height your feet will be above the ground is 2.25 feet.2)  Will you be able to dunk the ball=?As the height needed to jump in the air to dunk the ball is 2.5 feet which is greater than the maximum height the feet will be above the ground i.e.2.5>2.25hence No you will not be able to dunk the ball !