Answer:
The effect of the acceleration on the bus is that the acceleration slows down the bus by 4 m/s, for each second the bus is in motion
Explanation:
The given parameters are;
The velocity of the bus, u = 25 m/s
The direction in which the bus is moving = South
The acceleration acting on the = 4 m/s²
The direction of the acceleration = North
We have;
The acceleration = Rate of change of velocity with time
The acceleration, a = dv/dt
∴ dv = a × dt
The velocity in the direction of the acceleration, v is therefore;
∫dv = v = ∫a × dt = a × t
v = a×t
The direction of the change in velocity due to the acceleration is opposite to the direction of the velocity of the bus, therefore, the effect of the acceleration on the velocity of the bus is given by the following equation for the resultant velocity, s, as follows;
s = u - a × t = 25 - 4×t
s = 25 - 4×t
Therefore, the acceleration slows down the bus by 4 m/s, every second.
