question 9. a through c. thanks

9. A water balloon is launched vertically into the air with an initial velocity of 25.9 meters per second which can be modeled by the equation H(t) = -4.9t2 + 25.9t + h where h is the initial height. You may use desmos or any other calculator of your choice. Round your answer to two places. (a) (4 points) If the balloon landed in 5.4 seconds, determine the initial height (h) of the balloon. (Hint: If the balloon landed H(t) = 0) (b) (4 points) Determine the maximum height attained by the balloon AND the amount of time it takes to reach that height (c) (4 points) Determine the time it takes the balloon to reach a height of 3 meters