**Given:** | | ** A projectile is launched upward at a velocity of 360 ft/sec on Earth. The projectile starts at an initial vertical distance of 10 feet.** |

| |

**Find:** | a) | Write the function that describes the height of the projectile with respect to time.
h(t) = t^{2} + t + |

| | |

| b) | At what time does the projectile reach the maximum height? [Round your answer to the nearest tenth.]
seconds |

| | |

| c) | Determine the maximum height of the projectile. [Round the answer to the nearest foot.]
feet |

| | |

| d) | At what time does the projectile reach ground level? [Round your answer to the nearest tenth.]
seconds |