represented by the quadratic equation h16t² + 64t+ 80.

Question

After how many seconds will the object hit the ground?
A 29 seconds
B 6.4 seconds
C 5.0 seconds
D 8.0 seconds

Answer 1

To find when the object will hit the ground, we need to solve for t when h(t) = 0.

h(t) = 16t^2 + 64t + 80

Setting h(t) = 0:

0 = 16t^2 + 64t + 80

Dividing the equation by 16 to simplify:

0 = t^2 + 4t + 5

Now, we can factorize this quadratic equation:

0 = (t + 1)(t + 5)

Setting each factor to zero:

t + 1 = 0
t = -1

t + 5 = 0
t = -5

Since time cannot be negative, the object will hit the ground after 5 seconds. Therefore, the answer is:

C 5.0 seconds