An object's altitude, in meters, is given by the polynomial h + vt - 9.8t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 150 meters tall. If the initial speed is 35 meters per second, how high above the ground will the pebble be after 3 seconds? Round the results to the nearest tenth of a meter. Remember to solve this equation using the five step problem solving process. Show all steps to your solution.