Question #179995

The formula for final velocity of an object starting from zero and undergoing constant acceleration is v = 1/2 * a * t ^ 2 What is the time it will take a car accelerating 4 m/s ^ 2 ? 50 m/s


1
Expert's answer
2021-04-26T15:56:31-0400

The formula for final velocity of an object starting from zero and undergoing constant 

acceleration is V=12×a×tV=\frac{1}{2}×a×t2

where a is acceleration, t is time, v is velocity.

It follows from this eq uation that:

t2=2Vat^2=\frac{2V}{a}


t=2Vat=\sqrt\frac{2V}{a}

Substitute v = 50 (m/s), a = 4 (m/s2) into the previous formula:

t=2×504t=\sqrt\frac{2×50}{4}

=25=5seconds=\sqrt{25}=5seconds


Answer: It will take 5 seconds



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