Answer :
Answer:
150 km/hr²
Explanation:
The data for the motion of the train includes;
The train starts from rest, therefore, the initial velocity of the train, u = 0 km/hr
The speed of the train after 0.5 hours, v = 75 km/hr
The change in time during the motion of the train, Δt = 0.5 hours
The acceleration, 'a', is the rate of change of velocity with time;
[tex]a = \dfrac{\Delta v}{\Delta t} = \dfrac{v - u}{\Delta t}[/tex]
Therefore, we have;
a = (75 km/hr - 0 km/hr)/(0.5 hr) = 150 km/hr²
a = 150 km/hr² = 150 km/hr² × 1,000 m/km × hr²/(3,600 s)² = 5/432 m/s²
The acceleration of the train, a = 150 km/hr² = 5/432 m/s².