Demetrius is home for weekend from College. As he pulls into the driveway and gets out of his car, his younger brother Marcus, who is playing in the yard, spots him. If Demetrius is walking toward his brother at a speed of 1.5 m/s and Marcus is initially walking toward Demetrius at a speed of 1.05 m/s but accelerating toward him at 0.18 m/s. If the two brothers are initially 15.0 m apart, how long does it take them to meet, and how far they from the car are they when they meet? (Hint: make the car the origin of the coordinate system.) Read the word problem. Draw a diagram that includes an axis with an identified origin and labelled positive and negative directions. Identify the locations of the two objects on the axis system. Identify velocities by drawing an arrow attached to the object and "v=xx" where "xx" is the numerical value for each object. Identify an acceleration by drawing an arrow above or below the object and "a=xx" where "xx" is the numerical value. Set up equations of motion for each object with symbols for quantities and no numerical values in them. Use the problem description to determine the implied conditions that will allow you to solve for the unknown quantities. Then write down a series of clear algebraic steps until you have numerical values for the two things the problem asks for: a distance and a time. Don't forget to include mits on final answers, which should have a reasonable number of significant figures (two or three). Convert your solution, which will include your diagram, to a pdf and upload it to the assignments folder. Your answer can be on the second page of the original pdf, or you can write your answer on lined paper if you prefer. Equations; Vector relationships, for a vector of magnitude V at an angle 0 with respect to the positive x-axis. Vx = V cos (0) Vy = V sin (0) V2 = Vx2 + Vy2 tan 0 = Vy / Vx For constant velocity conditions: d = do + Vot For constant acceleration conditions: d = do + vot + 1/2 at2 V2 = vo2 + 2a(d-do) V = Vo + at Use g = 10.0 m/s2 for the acceleration due to gravity near the surface of the earth