Two mini buggies are placed next to each other on a long racetrack. At t = 0 they are bothreleased from rest. Buggy A travels with velocity vA =-2.19t2 +

8t once it reaches a velocity of 7.0725m/swhere it continues to travel at constant velocity. Buggy B is placed onto the track facing the wrong direction and initially travels backwards for the first 3s, accelerating at a constant magnitude of 0.7m/s. After 3s the buggy hits a wall and stops. A student immediately turns it around allowing it to accelerate from rest from the wall with constant magnitude of acceleration of 0.7m/s until it reaches a velocity of10.0725m/s. Once it has reached this velocity it travels with a constant velocity. i.Sketch, on the same graph, the velocity-time graphs for both buggies from t 0 until the time t' at which buggy B overtakes buggy A.[5 Marks] ii.Find the value of t'. For question 2 submit the following values: 2.2Time at which buggy A reaches a constant velocity. (s) 2.3Displacement of buggy A between t = 0 and when it reaches constant velocity. (m) 2.4Distance travelled by buggy B between the wall and reaching a constant velocity. (m) 2.5 Value of t'. (s)