At the annual turtle races, Poindexter, the record holder, is trying to retain his title. As the race begins, Poindexter starts off racing North with a speed of 0.025 m/s. He retains this speed for 0.5 meters at which time he speeds up to 0.10 m/s. He continues at this rate for 0.75 meters. Tiring, he slows to 0.07 m/s and continues for another half of a meter. Applying all his concentration and effort for the last bit of the race he increases his speed to a swift 0.085 m/s. An exhausted Wood Turtle, Poindexter completes his two meter race beating his closest competitor by a nose.

A.In what amount of time did Poindexter run the race? (Show all your work.)
Time= Distance/Speed,
It was a 2 meter race= 0.5/.025=20, .75/.125=6, .5/.055=9.1, .25/0.085=2.9. 20+6+9.1+2.9=38seconds.

B.What was his average speed? (Show all your work.)
Average speed= total distance/ total time.
2/38=0.053m/s^2 Average Speed.

C.What was his displacement?
I have no idea?! Please help!

To determine Poindexter's displacement, we need to find the difference between his final position and his initial position. In this case, his initial position is 0 meters, and his final position is 2 meters (since it was a 2 meter race). Therefore, the displacement is 2 meters.

Alternatively, we can break down his movements and calculate the displacement for each segment:

1. In the first segment, Poindexter moves 0.5 meters North.
2. In the second segment, he moves an additional 0.75 meters North.
3. In the third segment, he moves another 0.5 meters North.
4. Finally, in the last segment, he moves an additional 0.25 meters North.

To find the displacement for each segment, we need to consider the direction. Since Poindexter is always moving North, his displacement in each segment is the distance traveled in that segment.

So the displacement for each segment is:

1. 0.5 meters North
2. 0.75 meters North
3. 0.5 meters North
4. 0.25 meters North

To find the total displacement, we add up the displacements for each segment:

Total displacement = 0.5 + 0.75 + 0.5 + 0.25 = 2 meters North

Therefore, Poindexter's displacement for the race is 2 meters North.