Write and solve a quadratic equation for the situation below. Choose the answer that has both an equation that correctly models
the situation as well as the correct solution for the situation. A soccer ball is kicked from the ground toward the goalie with an initial velocity of 15 ft/s. If the ball is not caught by the goalie, how long will it take the ball to land on the ground?
You are given that v0=15ft/s and h0=0ft and let g≈-32 so
h(t)=-16t^2+15t
It will hit the ground when h(t)=0 so:
0=-16t^2+15t which is equal to
16t^2-15t=0 factor
t(16t-15)=0, since we are looking for the time other than zero...
t=15/16 of a second :)
So they obviously just rounded to one whole second. So C.) was the correct answer. (Although I would say they are all wrong because they didn't SAY to round the answer :P) Haha, not trying to confuse you, the answer is most likely C. because they had the correct equation.