An object moves such that its distance–time graph consists of three straight-line…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

An object moves such that its distance–time graph consists of three straight-line segments joining the points

(0\,\text{s},\,0\,\text{m})

(4\,\text{s},\,8\,\text{m})

(8\,\text{s},\,24\,\text{m})

and

(12\,\text{s},\,24\,\text{m})

. Identify the time interval during which the object had the greatest speed and justify your answer briefly.