Question 8 (4 points) Duane and Albert have a race. Duane starts 5 m ahead of Albert and runs forward at a speed of 3 m/s. Albert runs forward at a speed of 4.2 m/s. a. Write an expression for Duane's position in terms of t and Vduane. (Hint: Set x = 0 at Albert's starting point.) (1 point) b. Write an expression for Albert's position in terms of tand Valbert- (1 point)c. At what time does Albert catch up to Duane? (Hint: Set the two expressions for position equal to each other and solve for time.) (1 point) d. How far from Albert's staning point are the}r when they meet? (1 point) Question 9 (4 points) Derek and Diane race each other on bicycles. Derek starts 4 seconds before Diane. He goes at a steady speed of 6 m/s. Diane starts from rest and has an acceleration of 2 m/s2. a. Write an expression for Derek's position in terms of t and Vderek- (1 point)b. Write an expression for Diane's position in terms of rand adiane. (1 point) c. At what time does Diane catch up to Derek? {1 point) d. How far has she gone when she catches up with him? (1 point)