A projectile is fired from ground level on a horizontal plain. If the initial speed of the projectile is now doubled, and we neglect air resistance,
A) its range will be increased by $\sqrt { 2 }$ .
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 (the horizontal distance it travels) is proportional to the initial velocity squared, as long as air resistance can be neglected. Therefore, if the initial velocity is doubled, the range will be quadrupled (2^2 = 4).

A Projectile Is Fired from Ground Level on a Horizontal 2\sqrt { 2 }2​

A Projectile Is Fired from Ground Level on a Horizontal $\sqrt { 2 }$