A passenger train leaves a station with a constant acceleration.

PHYSICS · Multi-part · CBSE · Physics · Motion in a Straight Line · Motion in a Straight Line

Problem

A passenger train leaves a station with a constant acceleration. (a) Its initial speed is 54 km/h54\,\text{km/h}. Convert this speed into m/s\text{m/s}. (b) The train accelerates at 0.5 m/s20.5\,\text{m/s}^2 for 30 s30\,\text{s}. Calculate its final speed in both m/s\text{m/s} and km/h\text{km/h}. (c) Find the distance travelled by the train during the 30 s30\,\text{s} of acceleration. (d) Briefly comment on whether an acceleration of 0.5 m/s20.5\,\text{m/s}^2 is reasonable for a passenger train, giving one reason for your answer.

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