Question

For a given velocity, a projectile has the same range R for two angles of projection if t₁ and t₂ are the times of flight in the two cases then

• A. $t_{1}t_{2} \propto R^{2}$
• B. $t_{1}t_{2} \propto R$
• C. $t_{1}t_{2} \propto \frac{1}{R}$
• D. $t_{1}t_{2} \propto \frac{1}{R^{2}}$

Answer 1

Answer: (B)

$t_{1}t_{2} \propto R$

Answer 2

As we know for complementary angles $t_{1}t_{2} = \frac{2R}{g}$

∴ $t_{1}t_{2} \propto R$.