First slide

Projectile motion

Question

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

Moderate

A

R/4
B

R/2
C

2R
D

4R

Solution

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

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