A kid who is 5 feet tall throws an object into the air the quadratic function f(x)=-16^2+64x+5 is where f(x) is the height of the object in feet and x is the time in seconds
The function in vertex form is
A)f(x)=-16(x-2)^2+5
B)f(x)=-16(x-2)^2+69
C)f(x)=-16(x-2)^2-11
D)f(x)=-16(x-2)^2-59
The object hits the ground after about ____ seconds
To find the time it takes for the object to hit the ground, we need to set f(x) = 0 and solve for x.
0 = -16(x^2) + 64x + 5
Divide by -16 to simplify:
0 = x^2 - 4x - 5
Now, we can factor the quadratic equation:
0 = (x - 5)(x + 1)
Setting each factor to zero:
x - 5 = 0 OR x + 1 = 0
x = 5 OR x = -1
Since time cannot be negative, the object hits the ground after 5 seconds.
Therefore, the answer is:
C) f(x)=-16(x-2)^2-11
The object hits the ground after about 5 seconds.