Question 1014915: Suki is training in her wheelchair for the 100-meter race at the next Paralympics. In her initial acceleration phase, she averages a speed of 2.7 meters per second. At her maximum speed phase, she averages a speed of 6.6 meters per second. If she finishes a practice race in 18.1 seconds, how many meters long (to the nearest tenth of a meter) is her initial acceleration phase?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website!  = length of the acceleration phase, in meters.
 = length of the maximum speed phase, in meters.
At an average speed of  ,
Suki will cover the first meters in
 seconds.
Then, she will complete the remaining meters,
at an average speed of  , in
 seconds.
Since both stages add up to  seconds, our equation is
 .
Solving:
Multiplying both sides of the equal sign times  , we get
 (rounded to 3 decimal places).
So, to the nearest tenth of a meter, Suki's initial acceleration phase is  meters long.
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