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Dot Product of Two Vectors

When two proj...

Question

When two projectiles are fired from complementary angles having times of flight T_1,T₂and maximum heights H₁ , H₂respectively.

Which of the following is correct?

1) R= gT₁T₂/2

2)R= 4√H₁H₂

3) angle of protection=tan^-1T₁/T₂

4) angle of projection= tan^-1H₁/H₂

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Solution

Yes options 2 and 3 are also correct.
As we have following eqn from given data and conditions.

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