SOLUTION: find the distance required for a car to reach a velocity of 80 ft/s when the acceleration is 20 ft/s^2 use the equation v= square root 2as, where v is the velocity, a is accelerati

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Question 1115103: find the distance required for a car to reach a velocity of 80 ft/s when the acceleration is 20 ft/s^2 use the equation v= square root 2as, where v is the velocity, a is acceleration, and s is the distance
Answer by 4419875(21) About Me  (Show Source):
You can put this solution on YOUR website!
S should be expressed in displacement not in distance since the problem is involved in a vector quantity. Anyway if this is meant by the problem and no direction is involved, as magnitude is indicated alone then, distance would be accepted for this case now.
we know that v+=+sqrt%282as%29. We'll isolate s in the given formula.
1st - square both sides: v%5E2+=+%28sqrt%282as%29%29%5E2 which leaves us v%5E2+=+2as
2nd - divide both sides by 2a(we apply division PE) %28v%5E2%29%2F2a+=+2as%2F2a
where s+=+v%5E2%2F2a
3rd - Substitute s+=+%28%2880ft%2Fs%29%5E2%29+%2F+%282%2820ft%2Fs%5E2%29%29
s+=+%286400+ft%5E2%2Fs%5E2%29%2F%2840ft%2Fs%5E2%29
s = 160 ft