SOLUTION: A car has uniformly accelerated from rest to a speed of 25 m/s after travelling 75 m. What is its acceleration ?

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Question 1180995: A car has uniformly accelerated from rest to a speed of 25 m/s after travelling 75 m. What is its acceleration ?
Found 2 solutions by Edwin McCravy, Solver92311:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
v%5BF%5D%5E2%22%22=%22%22v%5B0%5D%5E2+%2B+2as

25%5E2%22%22=%22%220%5E2+%2B+2a%2875%29

625%22%22=%22%220+%2B+150a

625%22%22=%22%22150a

625%2F150%22%22=%22%22a

4.167%22%22=%22%22a

Answer: a%22%22=%22%22matrix%281%2C2%2C4.167%2Cm%5E%22%22%2Fs%5E2%29

Edwin



Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!

The distance traveled as a function of time is given by . Since, for this problem, the initial velocity is zero and the initial distance traveled is zero, this reduces to . From the given information, we know this to be equal to 75 meters.

The velocity as a function of time is given by . Since the initial velocity is zero for this problem this reduces to . From the given information we know this to be equal to 25 meters per second.

Hence:





So



So the elapsed time at the point the distance was 75 meters and the velocity was 25 meters per second is 6 seconds. Since





John

My calculator said it, I believe it, that settles it

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