5: A potato cannon launches a potato straight up from a height of 5 feet with an initial velocity of 128 ft/sec. The horizontal distance from the cannon launch and the vertical height from the ground, in feet, are modeled by a set of parametric equations. . Write a set of parametric equations that will model the height of the potato as a function of time, t. . Find the average rate of change in horizontal position over the first two seconds. Show your work and units. What is the average rate of change in vertical motion over the first two seconds? Show your work and units.

A small, propeller driven, airplane is heading south at 120 mph. A commercial jet airplane is heading west at 600 mph. These airplanes are flying toward the same point at the same altitude (call it the origin). The first time this situation was observed (t 0),the propeller plane was 100 miles from the point where the flight patterns intersect. The jet was 550 miles from this intersection. %3D (a) For each airplane, find parametric equations that model its motion. (b) Find an equation for the distance between the airplanes as a function of time. (c) When are the airplanes closest? (d) What is the minimum distance between the airplanes?

A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location (777, 370); at 5 pm, its location is (648, 325). Write a set of parametric equations to describe its movement. Fill in the blanks. Give decimal values to three places. X = t + t +

You are watching your friend ride a Ferris wheel whose radius is 40 feet and center at (0,43). When you start watching your friend at t=0, they are at the highest point of the Ferris wheel. You notice the wheel is spinning clockwise at a rate of 120 seconds per revolution. Create a parametric equation that represents your friend's position at t seconds. DO NOT USE A CALCUATOR.