Question to test your Motion Analysis knowledge

Question

Determine the average velocity of a racing motorcycle over the time interval $open bracket 7 comma 9 close bracket$ if the motorcycle is traveling on a straight east-west highway. The motorcycle leaves a checkpoint at $7 colon 30$ AM heading east with a position function $s = g (t)$ that gives the motorcycle's location in miles $t$ hours after $7 colon 30$ AM (see figure). Also, find the velocity and the direction in which the motorcycle is moving at $3 colon 30$ PM. Assume $s$ is positive when the motorcycle is east of the checkpoint.

Graph showing the position of a motorcycle over time, with distance in kilometers on the vertical axis and time in hours on the horizontal axis.

Accepted Answer

Average velocity over $[7, 9]$ : $-30 ext{ km/h}$

Velocity at $3:30$ PM: $-30 ext{ km/h}$ .

Direction: West

Answer

Average velocity over $[7, 9]$ : $-30 ext{ km/h}$

Velocity at $3:30$ PM: $-30 ext{ km/h}$

Direction: East

Answer

Average velocity over $[7, 9]$ : $negative 60 km slash h$

Velocity at $3:30$ PM: $negative 60 km slash h$

Direction: West

Answer

Average velocity over $[7, 9]$ : $-30 ext{ km/h}$ .

Velocity at $3:30$ PM: $-30 ext{ km/h}$ .

Direction: East