Answer to Question #179995 in Algebra for Ivan

Question

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

Answer 1

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

acceleration is $V=\frac{1}{2}×a×t$²

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

It follows from this eq uation that:

$t^2=\frac{2V}{a}$

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

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

$t=\sqrt\frac{2×50}{4}$

$=\sqrt{25}=5seconds$

Answer: It will take 5 seconds