First slide

Projection Under uniform Acceleration

Question

A projectile has a time of flight T and range R. If the time of flight is doubled, keeping the angle of projection same, what happens to the range?

Easy

A

R/4
B

R/2
C

2R
D

4R

Solution

$\frac{R}{T^{2}} = \frac{u^{2} \sin 2 θ / g}{4 u^{2} \sin^{2} θ / g^{2}} = \frac{g}{2} \cot θ i.e., {gT}^{2} = 2 Rtan θ If T is doubled, then R becomes 4 times .$

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