Question 119: Motion in 2D & Vectors

Question

Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is -

Accepted Answer

$$R = {{{u^2}\sin 2	heta } \over g}$$
$$A = \pi \,{R^2}$$
$$A \propto {R^2}$$
$$A \propto {u^4}$$
$${{{A_1}} \over {{A_2}}} = {{u_1^4} \over {u_2^4}} = {\left[ {{1 \over 2}} ight]^4} = {1 \over {16}}$$

Answer

1 : 16

Answer

1 : 8

Answer

1 : 2

Answer

1 : 4

Motion in 2D & Vectors

Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is -

Choose the correct answer: