1. Sally is driving along a straight highway in her classic 1965 Mustang. At time t=0 s. when Sally is moving at 10 m/s in the positive direction, she passes a signpost at x = 50 m. Her x-acceleration as a function of time is: a=2.0 m/s - (0.10 m/s)t i) Find her x-velocity and position as functions of time. ii) When is her x-velocity the greatest? iii) What is the maximum x-velocity? iv) Where is the car when it reaches maximum velocity? i. Would you use the constant acceleration or integral form equations in this problem? ii. List any givens and unknowns: initial velocity, final velocity, acceleration, initial position, final position. Include values and functions if possible, otherwise put as an unknown. iii. Write the equation (from part a) for final velocity, using any values from part b. iv. Solve the equation in part c for the velocity at any time. (This is question i) v. For question (ii), we are looking for a maximum velocity. From Calculus I, what is the condition to find the maximum of a function? vi. Solve the condition in part e for time. This is the answer to part ii.