Which statement about projectile motion is true?

A. The vertical velocity component determines the range of a projectile.
B. The horizontal velocity component determines the hang time of a projectile.
C. The range of a projectile increases with an increase in the angle of launch.
D. The hang time of a projectile is greatest for a vertical launch.

Respuesta :

C. The range of a projectile increases with an increase in the angle of launch.

Answer:

D. The hang time of a projectile is greatest for a vertical launch.

Explanation:

As we know that range of projectile is given by the formula

[tex]R = \frac{v^2sin(2\theta)}{g}[/tex]

so here as we increase the angle till 45 degree then the range will decrease but if we increase the angle more than 45 degree then the range will start decreasing

Also we know that time of flight is given by the formula

[tex]T = \frac{2vsin\theta}{g}[/tex]

since it depends on the vertical component of the motion so we can say that hang time can be determine by vertical components of the motion

So maximum hang time is possible only when angle of projection is 90 degree

so correct answer will be

D. The hang time of a projectile is greatest for a vertical launch.