If two bodies are projected at 30- and 60- respectively with same velocity thenTheir ranges are sameTheir times of flight are sameAll of theseTheir heights are same

The correct option is A Their ranges are sameFor complimentary angles, (θ, 90^∘ θ) range of projectile is same. R_1=u^22sin θ cos θ/g=R_2=u^22sin(90^∘ θ)cos(9 ...

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Standard XII

Physics

Definition of a Projectile

If two bodies...

Question

If two bodies are projected at $30^{\circ}$ and $60^{\circ}$ respectively with same velocity then

Their ranges are same

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Their heights are same

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Their times of flight are same

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All of these

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Solution

The correct option is A Their ranges are same
For complimentary angles, $(θ, 90^{\circ} - θ)$ range of projectile is same.
$R_{1} = \frac{u^{2} 2 s i n θ c o s θ}{g} = R_{2} = \frac{u^{2} 2 s i n (90^{\circ} - θ) c o s (90^{\circ} - θ)}{g}$
$R_{2} = \frac{u^{2} 2 c o s θ s i n θ}{g}$
$∴ R_{1} = R_{2}$

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If two bodies are projected at 30∘ and 60∘ respectively with same velocity then

The correct option is A Their ranges are sameFor complimentary angles, (θ,90∘−θ) range of projectile is same. R1=u22sin θcos θg=R2=u22sin(90∘−θ)cos(90∘−θ)g R2=u22cosθsin θg ∴ R1=R2

If two bodies are projected at $30^{\circ}$ and $60^{\circ}$ respectively with same velocity then