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Physics-

General

Easy

Question

A piece of marble is projected from earth’s surface with velocity of $50 m s to the power of negative 1 end exponent$ . 2 s later, it just clears a wall 5 m high. What is the angle of projection?

$45 °$
$30 °$
$60 °$
None of these

The correct answer is: $60 degree$

Horizontal component $equals u cos invisible function application theta$
Vertical component $equals u sin invisible function application theta$
$g equals negative 10 m s to the power of negative 2 end exponent comma u equals 50 m s to the power of negative 1 end exponent comma h equals 5 m comma t equals 2 blank s$
$h equals u subscript y end subscript t plus fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent$

$therefore blank 5 equals 50 sin invisible function application theta minus fraction numerator 1 over denominator 2 end fraction cross times 10 cross times 4$
or $5 equals 50 sin invisible function application theta minus 20$
or $sin invisible function application theta equals fraction numerator 25 over denominator 50 end fraction equals fraction numerator 1 over denominator 2 end fraction$
$therefore blank theta equals 30 degree$

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