Given the equation modeling Eva's height at time,t. To evaluate if she will reach height of 14 ft, we evaluate maximum height that she will reach. At maximum height h'(t)=0 but h(t)=-16t^2+20t+6 h'(t)=-32t+20=0 solving for t we get: -32t=-20 t=20/32 t=5/8 thus the maximum height reached was: h(5/8)=-16(5/8)^2+20(5/8)+6 h(5/8)=12.25 ft Thus we conclude that she won't reach the height of 14 ft because her maximum height was 12.25 ft