Problem 1 and Problem 2

Problem 1. Let Ci, C2 be two circles centred at (-1, 2) with radii 5, 7 respectively. (1) Is the point P = (2, 6) on either of the circles? Which one? 2) Find the equation of the line L tangent to C, at P. (3) Where does L intersect C2? You should find two points Q1, Q2. What are the equations for the lines tangent to C2 at Q1 and Q2? Where do these two tangcut lines intersect? Problem 2. Imagine you are on the roof of a 110m, tall skyscraper. You drop a ball off the side of the building and your friend on the ground times that it takes 4 seconds to reach the floor. What was the average speed of the ball as it fell to the ground? The distance a free falling object travels in t seconds is approxmiately 4.9t in. Using this formula: (1) Approximate how fast the ball was travelling just before it hit the floor. (2) Approximately how long did it take for the ball to fall halfway down to the building? When the ball was halfway to the ground, how fast was it travelling