14. A golf ball is chipped out of a sand trap along a path that can be modelled by the quadratic function h(t) = -5t2 + 22t +7.8, where time, t, is in seconds and height, h(t), is in metres. Determine where the ball will land to the nearest hundredth of a metre a. 4.73 m b. 88.47 m C. Om d. 7.26 m e. none of the above

Gotta catch 'em all! On Earth, the quadratic relation h = -5t + ut + ho can be used to determine the height of an object that has been thrown as it travels through the air, measured from a reference point. In this relation, h is the height of the object in metres, t is the time in seconds since the object was thrown, u is the initial velocity, and ho is the initial height. %3D Ash throws a pokeball upward from a second-floor balcony, 6 m above the ground, with an initial velocity of 2 m/s. In this situation, u = 2 and ho = 6, so the relation that models the height of the pokeball is h = -5t2 + 2t + 6. Ash knows that changing the velocity with which he throws the pokeball will change the maximum height of the pokeball. Ash wants to know with what velocity he must throw the pokeball to makepass over a tree that is 11 m tall in order to catch that pokemon. 11 m 6 m %3D %3D Suppose that Ash just dropped the pokeball from the balcony, with an initial velocity of 0 m/s. Write a quadratic…

9. The height (in feet) of a rock t seconds after it is thrown upward is given by the quadratic function h(t) = -16t² + 112t. How long will it take the rock to reach its maximum height? What is the maximum height of the rock?

2. Suppose a pumpkin is shot into the air with a cannon. After t seconds, the height (in feet) of the pumpkin can be represented by the following function, W(t)=-1.4t2 +28t + 5. How long does it take the pumpkin to reach its maximum height? Solve algebraically (Hint: draw a sketch.) a.