Question

The function -6t^2+5t+56=h is used to calculate the amount of time (t) in seconds it takes for an object to reach a certain height (h). According to this function, how many seconds will it take for the object to hit the ground?

Answer 1

3.5 seconds

Explanation:

h(t) is a quadratic function, it indicate that the object start with initial height (56).

If you want to know when the object hit the ground (h=0) you have to use the quadratic formula
`(-b +- \sqrt{b^(2)-4ac } )/2a` and take the positive root (the negative shows a negative time, so we have to discard it).

In this case: a=-6, b=5 and c=56, then the solve is 7/2=3.5