the function y = -16t^2 +224 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. how long will it take the stone to hit the ground? round to the nearest hundredth of a second.

a. 0.25 seconds
b. 5.29 seconds
c. 7.48 seconds
d. 3.74 seconds

Question

the function y = -16t^2 +224 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. how long will it take the stone to hit the ground? round to the nearest hundredth of a second.

a. 0.25 seconds
b. 5.29 seconds
c. 7.48 seconds
d. 3.74 seconds

justus · Answer

−16t^2+224=0

t^2=14

t=√14 ≈3.74 sec.