Word problem algebra

Question

If Jill climbed up on the shed and threw the snowball at a speed of 30 ft/ sec. the shed roof is 15ft off the ground . How long will it take for the snowball to hit the ground next to Peter on the other side of the house? It was thrown straight up.

Answer 1

h(t) = -16t² + 30t + 15

It reaches the ground when h=0, so set h(t)=0 and solve the resulting quadratic equation for t using the quadratic formula. You will get a negative and a positive solution. Since t starts at t=0, only the positive solution is correct.