Question

5. Below is the graph of the motion of a motorcycle. How fast is the motorcycle traveling between t = 1and t = 3 seconds?6040Position (meters)2001562 3 4Time (seconds)

Answer 1

To know how fast is the motorcycle traveling between t = 1 and t = 3 seconds, we need to find the slope of the graph, so using the position for t=1 and t=3, we get:

`\text{velocity = }\frac{60\text{ meters}-20\text{ meters}}{3\text{ seconds}-1\text{ second}}=\frac{40\text{ meters}}{2\text{ seconds}}=20\text{ meters/sec}`

Because at t=1 the position is 20 meters and at t=3 the position is 60 meters.

Answer: 20 meters per second