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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

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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 Demetrrus 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 thel coordinate system.) ' Read the word problem. Draw a diagram that Includes an axis with an identied 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=)0(" where \")or" is the numerical value. Set up equations of motion for each object with symbols for quant/t/es 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 units on nal answers, which should have a reasonable number of signicant gures (two or three). Equations; Vector relationships, for a vector of magnitude V aim angle 9 with respect to the positive x-axls. Vx=va(e) Vy=Vsin(B) V2=V312+Vyz tan9=Vyle For constant velocity conditions: d = do + vot For constant acceleration conditions: d = do + Vat + V2 at: v2 = Va2 + 28(d-do) v = V0 + at Use 9 = 10.0 m/s2 for the acceleration due to gravity near the surface of the earth

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