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Physics-

General

Easy

Question

Trajectories of two projectiles are shown in figure. Let $T subscript 1 end subscript$ and $T subscript 2 end subscript$ be the time periods and $u subscript 1 end subscript$ and $u subscript 2 blank end subscript$ their speeds of projection. Then<

$T_{2} > T_{1}$
$T_{1} = T_{2}$
$u_{1} > u_{2}$
$u_{1} < u_{2}$

The correct answer is: $u subscript 1 end subscript less than u subscript 2 end subscript$

Maximum height and time of flight depend on the vertical component of initial velocity
$H subscript 1 end subscript equals H subscript 2 end subscript rightwards double arrow u subscript y end subscript subscript 1 end subscript equals u subscript y end subscript subscript 2 end subscript$
Here $T subscript 1 end subscript equals T subscript 2 end subscript$
Range $R equals fraction numerator u to the power of 2 end exponent sin invisible function application 2 blank theta over denominator g end fraction equals fraction numerator 2 left parenthesis u sin invisible function application theta right parenthesis left parenthesis u cos invisible function application theta right parenthesis over denominator g end fraction$
$equals fraction numerator 2 u subscript x end subscript u subscript y end subscript over denominator g end fraction$
$R subscript 2 end subscript greater than R subscript 1 end subscript therefore u subscript x subscript 2 end subscript end subscript greater than u subscript x subscript 1 end subscript end subscript blank o r blank u subscript 2 end subscript greater than u subscript 1 end subscript$

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