The ranges and heights for two projectiles projected with the same initial velocity at angles 42° and 48° with the horizontal are R 1, R 2 and H 1, H 2 respectively. Choose the correct option:

Question

The ranges and heights for two projectiles projected with the same initial velocity at angles 42° and 48° with the horizontal are R 1, R 2 and H 1, H 2 respectively. Choose the correct option: (A) R 1> R 2 and H 1= H 2 (B) R 1= R 2 and H 1< H 2 (C) R 1< R 2 and H 1< H 2 (D) R 1= R 2 and H 1= H 2

Tardigrade Admin · Accepted Answer

Range R=(u2 sin 2 θ/g) and same for θ and 90-θ So same for 42° and 48° Maximum height H=(u2 sin 2 θ/2 g) H is high for higher θ So H for 48° is higher than H for 42°

Q. The ranges and heights for two projectiles projected with the same initial velocity at angles $4 2^{\circ}$ and $4 8^{\circ}$ with the horizontal are $R_{1}, R_{2}$ and $H_{1}$ , $H_{2}$ respectively. Choose the correct option:

$R_{1} > R_{2}$ and $H_{1} = H_{2}$

$R_{1} = R_{2}$ and $H_{1} < H_{2}$

$R_{1} < R_{2}$ and $H_{1} < H_{2}$

$R_{1} = R_{2}$ and $H_{1} = H_{2}$

Range $R = \frac{u ^{2} s i n 2 θ}{g}$ and same for $θ$ and $90 - θ$
So same for $4 2^{\circ}$ and $4 8^{\circ}$
Maximum height $H = \frac{u ^{2} s i n ^{2} θ}{2 g}$
$H$ is high for higher $θ$
So $H$ for $4 8^{\circ}$ is higher than $H$ for $4 2^{\circ}$

Q. The ranges and heights for two projectiles projected with the same initial velocity at angles 42∘ and 48∘ with the horizontal are R1​,R2​ and H1​, H2​ respectively. Choose the correct option:

R1​>R2​ and H1​=H2​

R1​=R2​ and H1​<H2​

R1​<R2​ and H1​<H2​

R1​=R2​ and H1​=H2​