A cyclist starts from rest and follows this sequence of motion: • Speeds up uniformly…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A cyclist starts from rest and follows this sequence of motion: • Speeds up uniformly to 6 m/s6\,\text{m/s} in 4 s4\,\text{s}. • Maintains the speed of 6 m/s6\,\text{m/s} for the next 6 s6\,\text{s}. • Slows down uniformly to 2 m/s2\,\text{m/s} in the following 3 s3\,\text{s}. Answer the following: (a) Find the average acceleration during the first 4 s4\,\text{s}. (b) Determine the average acceleration during the last 3 s3\,\text{s}. (c) Calculate the overall average acceleration for the entire 13 s13\,\text{s} journey. (d) State whether the overall average acceleration is positive, negative or zero, and justify your answer with reference to your calculations.

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