Physics

Problem

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

6\,\text{m/s}

4\,\text{s}

. • Maintains the speed of

6\,\text{m/s}

for the next

6\,\text{s}

. • Slows down uniformly to

2\,\text{m/s}

in the following

3\,\text{s}

. Answer the following: (i) Find the average acceleration during the first

4\,\text{s}

. (ii) Determine the average acceleration during the last

3\,\text{s}

. (iii) Calculate the overall average acceleration for the entire

13\,\text{s}

journey. (iv) State whether the overall average acceleration is positive, negative or zero, and justify your answer with reference to your calculations. a. Find the average acceleration during the first

4\,\text{s}

. b. Determine the average acceleration during the last

3\,\text{s}

. c. Calculate the overall average acceleration for the entire

13\,\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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