Calculating Cyclist Speed: 10 Secs and 5 Secs

[Izekid]

The cyclist got a average speed of 1,8m/s and a top speed of 3,6sek
The time is 10 sek.
How do I get to know how long will the cyclist cycle the last 5 sek of the 10 sek. Can i conclude that with my formula?

Please help me

 

[lightgrav]

If you mean that the top speed is 2 times the average speed, then
(in first approximation of constant acceleration) the lowest speed was zero.
So the graph of velocity vs time is through the origin, straight-line.

How far did he go in the whole 10 seconds? (½ vmax tmax)
this is the area of the triangle "under the curve" v vs t .

How far would he go, in the last half of the race?
(OK, what would his average speed be during this half?)

 

[quicknote]

I would first like to clarify that the units provided in the question are incorrect. The average speed should be given in meters per second (m/s) and the top speed should be given in seconds (s), not "3,6sek." Additionally, the time should be given in seconds (s), not "10 sek."

Assuming that the average speed is indeed 1.8 m/s and the top speed is 3.6 m/s, we can use the formula for average speed (distance/time) to calculate the distance traveled in the first 5 seconds:

Average speed = distance / time
1.8 m/s = distance / 5 s
Distance = 1.8 m/s * 5 s
Distance = 9 m

This means that in the first 5 seconds, the cyclist traveled 9 meters.

To calculate the remaining time of 5 seconds, we can use the same formula with the distance traveled being the remaining distance (10 meters - 9 meters = 1 meter):

Average speed = distance / time
1.8 m/s = 1 m / time
Time = 1 m / 1.8 m/s
Time = 0.56 s

Therefore, the cyclist will cycle for 0.56 seconds in the last 5 seconds of the 10-second period.

It is important to note that this calculation assumes that the cyclist maintains a constant speed throughout the entire 10 seconds. If the cyclist's speed varies, the calculation will be different. In conclusion, the provided formula can be used to calculate the remaining time if the initial conditions are known and the cyclist maintains a constant speed.