Two projectile launchers are beside one another on level ground. both launchers are directed at the same angle with respect to ground. projectile a is launched with an initial speed v, and projectile bis launched with an initial speed 2v. how do the ranges of the two projectiles compare with one another? (a) projectile b will travel 4 times as far as projectile a prior to landing (b) projectile b will travel 3 times as far as projectile a prior to landing (c) projectile b will travel twice as far as projectile a prior to landing (d) projectile b will travel 2.5 times as far as projectile a prior to landing

(a) Projectile B will travel 4 times as far as projectile A prior to landing

Explanation:

Initial velocity = v

Angle at which the projectile is shot at = θ

g = Acceleration due to gravity

Range of a projectile is given by

When Initial velocity = v

When Initial velocity = 2v

Dividing the equtions, we get

Here, the angle at which the projectiles are fired at are equal.

Hence, projectile B will travel 4 times as far as projectile A prior to landing

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.