Answer to Question #261138 in Molecular Physics | Thermodynamics for Noob

Question

A bus starts from rest at a station and accelerates at a speed rate of 2m/s^2 for 15 seconds. It then runs at a constant speed for 25 seconds and slows down at -3m/s^2 until it stops. Find the total displacement travelled by the bus

Answer 1

1) Displacement during acceleration:

$$d_1=a_1t_1^2/2=225\text{ m}.$$

2) Displacement during the 25 s:

$$d_2=vt_2=(a_1t_1)t_2=750\text{ m}.$$

3) Displacement during deceleration:

$$d_3=v^2/(2a_3)=(a_1t_1)^2/(2a_3)=150\text{ m}.$$

4) The total displacement:

$$D=d_1+d_2+d_3=1125\text{ m}.$$