Need maths help ASAP
Need maths help ASAP.
Two sprinters compete in a100m race, crossing the finishing line together after 12s.
Model A: the sprinter accelerates from rest at a constant rate for 4s and then travels at a constant speed for the rest oh the race.
a) For model A. Find the maximum speed and the initial acceleration of the sprinter.
Two sprinters compete in a100m race, crossing the finishing line together after 12s.
Model A: the sprinter accelerates from rest at a constant rate for 4s and then travels at a constant speed for the rest oh the race.
a) For model A. Find the maximum speed and the initial acceleration of the sprinter.
Original post by Reviser12345678
Need maths help ASAP.
Two sprinters compete in a100m race, crossing the finishing line together after 12s.
Model A: the sprinter accelerates from rest at a constant rate for 4s and then travels at a constant speed for the rest oh the race.
a) For model A. Find the maximum speed and the initial acceleration of the sprinter.
Two sprinters compete in a100m race, crossing the finishing line together after 12s.
Model A: the sprinter accelerates from rest at a constant rate for 4s and then travels at a constant speed for the rest oh the race.
a) For model A. Find the maximum speed and the initial acceleration of the sprinter.
Basic SUVAT.
The sprinter covers s=100m over time t=12s.
For the first 4 seconds, they travel with some acceleration after starting from rest (u=0). Write down the displacement (*) in terms of . What is the velocity (**) of this sprinter at the end of this 4 second period, in terms of ?
For the next 8 seconds, they travel with zero acceleration (a=0) with initial velocity of (**). Write down the displacement (***) over these 8 seconds in terms of .
Add (*) and (***) since they make up the 100 metres, so you now have a single equation that satisfies. Solve for it. The maximum speed is obviously whatever (**) is, which you can determine once you know .
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