A mass m = 0.7 kg is released from rest at the origin 0. The mass falls under the influence of gravity. When the mass reaches point A, it is a distance x below the origin 0; when the mass reaches point B it is a distance of 3 x below the origin 0. What is vB/vA?

Explanation:

Consider the two kinematic equations for velocity and position of an object falling due to the action of gravity:

Therefore, if we consider the time for the object to reach point A, and the time for it to reach point B, then:

Let's work in a similar way with the two different positions at those different times, and for which we have some information;

Notice that this quotient is exactly the square of the quotient of velocities we are looking for, therefore:

u=13

v=30

s/t=u+1\2at

=13+431/2

=13+265.5

=278.5

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