First slide

Projection Under uniform Acceleration

Question

Assertion : For projection angle $\tan^{- 1} (4),$ the horizontal range and the maximum height of a projectile are equal.
Reason : The maximum range of projectile is directly proportional to square of the velocity and inversely proportional to acceleration due to gravity.

Moderate

A

If both assertion and reason are true and reason is a true explanation of assertion.
B

If both assertion and reason are true but reason is not the correct explanation of assertion.
C

If assertion is true but reason is false.
D

If both assertion and reason are false.

Solution

We know R = $4 H c o t θ$
If R = H, the $c o t θ = (\frac{1}{4}) o r \tan θ = (4)$
and R = $\frac{u^{2} \sin 2 θ}{g} R \propto \frac{u^{2}}{g}$

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