Question

Brayden starts out riding his bike for 5 kilometers. He stops and takes a turn and rides his bike14 more kilometers. After resting, he takes another road that will lead him back toward his starting point. He is only on that road for 8 kilometers. Is it possible that he made it back to his starting point Explain your answer and include a sketch to support your argument.

a. Sketch the route that represents Brayden's route.

Answer 1

Brayden's net displacement is 11 km, so he did not make it back to his starting point.

Step-by-step explanation:

Brayden starts at a point and rides his bike for 5 kilometers. Then, he takes a turn and rides his bike 14 more kilometers. After resting, he takes another road for 8 kilometers.

To determine if Brayden made it back to his starting point, we need to find his net displacement. Net displacement is the difference between the starting and ending points. If the net displacement is zero, then he made it back to his starting point.

In this case, Brayden starts at a point and travels 5 km east. Then, he takes a turn and travels 14 km east. After resting, he travels 8 km west. Therefore, his net displacement is 5 km + 14 km - 8 km = 11 km.

Since Brayden's net displacement is not zero, it is not possible for him to have made it back to his starting point.