Assignment:
Q1. Diagonal brace. The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures square root 6 m. Find the width and height.
Q2. Foul ball. Suppose Charlie O'Brian of the Braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft.
a) Use the formula to determine how long it takes the ball to return to the earth.
b) Use a graph to estimate the maximum height reached by the ball.
Q3. Sharing cost. The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
Provide complete and step by step solution for the question and show calculations and use formulas.