If the initial speed of a projectile is doubled.
A) Its range will be increased by 1.41.
B) Its range will double.
C) Its range will be decreased by a factor of two.
D) Its range will quadruple.
E) Its range will decrease by a factor of four.

Question

Quizplus · Accepted Answer

The range of a projectile is given by the formula R= (v^2*sin(2θ))/g, where v is the velocity, θ is the angle of projection and g is the acceleration due to gravity. 
If the initial speed of a projectile is doubled, then v in the above formula becomes 2v. Therefore, the range of the projectile becomes R'= (4v^2*sin(2θ))/g. 
Comparing R' with R, we get:
R'/R= 4v^2*sin(2θ)/(v^2*sin(2θ)) = 4
Hence, the range of the projectile will quadruple.

If the Initial Speed of a Projectile Is Doubled