Waiting for your responses. Hint: Use a graphing calculator to help solve this problem. Given: A projectile is launched upward at a velocity of 310 ft/sec on Earth. The projectile starts at an initial vertical distance of 90 feet. Find:a)Write the function that describes the height of the projectile with respect to time. h(t) = t2 + 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