Erik and anika are both running in a race. as they approach the finish line, you being the physicist that you are decide to time how long it takes them to reach the end of the race. when you start your stop watch (you can take this as time t=0 s) you notice that anika is an unknown distance d ahead of erik and both are moving with the same initial velocity vo. you also notice that erik is accelerating at a constant rate of q, while anika is deaccelerating at a constant rate of -am erik and anika meet each other for the first time at time t = t. at this time (t=ti) erik's velocity is three times that of anika's velocity, meaning vi(ti) = 3vm(ti). a) (3 points) model: list the type of model that you will use to solve this problem. b) (10 points) visualize: draw the position vs. time graph describing anika's and erik's motion from time t=0 to time t = t1. clearly label your axes and initial conditions on your graph. c) (10 points) visualize: draw the velocity vs. time graph describing anika and erik's motion from time t=0s to time t = t1. clearly label your axes and initial conditions on your graph. d) (2 points) visualize: list all known and unknown quantities. e) (15 points) solve: how long from when the stop watch was started at t=0s did it take anika and erik to meet? express your answer in terms of know quantities vo, am and aj. hint: what do we know about their velocities? f) (10 points) solve: when the stop watch started at time t= 0s, how far apart, d, were anika and erik? express your answer in terms of know quantities vo, am and a. hint: think about their positions at time t=t.