First slide

Projection Under uniform Acceleration

Question

Assertion : The maximum horizontal range of projectile is proportional to square of velocity.
Reason : The maximum horizontal range of projectile is equal to maximum height attained by projectile.

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

R $= \frac{u^{2} \sin 2 θ}{g}$
$R_{m a x} = \frac{u^{2}}{g} w h e r e θ = 45^{0}$
$R_{m a x} \propto u^{2}$
Height H = $\frac{u^{2} \sin^{2} θ}{2 g}$
$\Rightarrow H_{m a x} = \frac{u^{2}}{2 g} w h e n θ = 90^{0}$
It is clear that $H_{m a x} = \frac{R_{m a x}}{2}$

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