Why can we never prove that a hypothesis is true?

1 answer:

7 0

A theorem can be proven (from axioms or prior theorems), using logic.

A hypothesis can be supported by evidence. The more evidence in support of the hypothesis, the more likely the hypothesis is to be correct. However, you’re always at the mercy of contrary evidence appearing in the future, to reduce the likelihood or even invalidate a hypothesis.

A (mathematical) proof suffers no such vulnerability to future evidence, as long as you hold the axioms of the theory to be true, and as long as there was no flaw in the construction of the proof.

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A particle undergoes two displacements. The first has a

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First you need to draw the picture of the problem to better understand it. Like the one bellow.

In this task you have 2 sides of triangle and we can calculate angle between them. Angle between them is 120 - 35 = 85 degrees.

Once you have those 3 variables you can calculate third side of triangle using cosine law.
a - second displacement
b - first displacement
c- resultant displacement.

$a^{2} = b^{2}+ c^{2}-2*b*c*cos85$
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now, we use cosine law again to find the angle between second and first displacement.
$\alpha = 45.36$ degrees

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Second displacement has magnitude of 196 and a direction of -14.64 with positive x axis

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