Recall that it took the bus 36 s to cover 400 m, that the student was 200 m ahead of the bus, and it took the student 1.70 s to accelerate. Use thorough explanation.

Given:

The student's top speed is 17km/hr

Student velocity is 4.72 m/s

Student acceleration is 2.78 m/s^2

Bus top speed is 40km/h.

Bus velocity is 11.11m/s

Bus's acceleration is 0.84 m/s^2.

a) What is the distance covered by the bus, from the moment the student starts chasing it and till the moment when the bus passes by the stop? You can use either equations or the v(t) graph. Give your answer in meters.

b)What is the distance covered by the students in these 36 s (from the beginning of her race and till the bus passes by the stop)? You can use either equations or the v(t) graph. Give your answer in meters.

c)Hence, by how much does the student miss the bus? Give the answer in meters. Use your answers from parts (b) and (c).