plz help math problem

Question

A ball is thrown from a height of 67

 meters with an initial downward velocity of 5/ms

. The ball's height h

 (in meters) after t

 seconds is given by the following.

=h−67−5t-5t^2

How long after the ball is thrown does it hit the ground?Round your answer(s) to the nearest hundredth.

Answer 1

Your equation for the height is a bit messed up. It should be:

h(t) = -5t² - 5t + 67

When the ball hits the ground, its height is zero:

0 = -5t² - 5t + 67

Use the quadratic formula and your calculator to solve for t (in seconds). Round your answers to the nearest hundredth as instructed. You will get two answers, one positive and one negative. Since we don't have the technology as yet to go back in time, the positive answer is the correct answer.