Answer:
0.75 seconds
Step-by-step explanation:
We simply set the distance d to 450 feet
Thus, we have
450 = -16t^2 - 4t + 462
= 16t^2 + 4t - 462 + 450
0 = 16t^2 + 4t - 12
divide through by 4
4t^2 + t - 3 = 0
4t^2 + 4t - 3t - 3 = 0
4t(t + 1) -3( t + 1) = 0
(4t-3)(t + 1) = 0
t + 1 = 0 or 4t-3 = 0
t = -1 or 3/4
t = -1 or 0.75
Since time cannot be negative , we have 0.75 as our only answer
Thus, it will take the rock 0.75 seconds to reach a distance of 450 feet after it is thrown from the ground
