Two cyclists, A and B

PHYSICS · Multi-part · CBSE · Physics · Motion · Motion

Problem

Two cyclists, A and B, start together from rest on parallel straight tracks. Cyclist A reaches a velocity of

15\,\text{m/s}

5\,\text{s}

with uniform acceleration and then keeps this velocity constant. Cyclist B moves with a uniform acceleration of

2.5\,\text{m/s}^2

throughout the first

8\,\text{s}

. Answer the following: (a) Draw separate labelled velocity–time graphs for cyclists A and B for the first

8\,\text{s}

on the same axes. (b) Calculate the acceleration of cyclist A. (c) Determine the time (if any within

8\,\text{s}

) at which both cyclists have the same velocity and state that velocity. (d) At

t = 4\,\text{s}

, which cyclist has the greater slope on the velocity–time graph? Give a reason based on your calculations.