A stone is projected from the ground with velocity 50" "m//s at-Turito

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Physics-

General

Easy

Question

A stone is projected from the ground with velocity $50 blank m divided by s$ at an angle of $30 degree$ . It crosses a wall after $3 blank s e c$ . How far beyond the wall the stone will strike the ground $left parenthesis g equals 10 blank m divided by sec to the power of 2 end exponent invisible function application blank right parenthesis$

$90.2 m$
$89.6 m$
$86.6 m$
$70.2 m$

The correct answer is: $86.6 blank m$

Total time of flight $equals fraction numerator 2 u sin invisible function application theta over denominator g end fraction equals fraction numerator 2 cross times 50 cross times 1 over denominator 2 cross times 10 end fraction equals 5 s$
Time to cross the wall $equals 3 blank s e c$ (Given)
Time in air after crossing the wall $equals open parentheses 5 minus 3 close parentheses equals 2 blank s e c$
$therefore$ Distance travelled beyond the wall $equals open parentheses u cos invisible function application theta close parentheses t$
$equals 50 cross times fraction numerator square root of 3 over denominator 2 end fraction cross times 2 equals 86.6 blank m$

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