Question

Propose a hypothesis as to how initial speed may affect the range of a projectile

Answer 1

The range, R, of a projectile motion is directly proportional to the horizontal component of the initial velocity as given by the formula,

`R=u_xt`

Where u_x is the horizontal component of the initial velocity and t is the time of flight of the projectile.

The range of a projectile is directly proportional to the square of the initial velocity as given by,

`R=(u^2\sin 2\theta)/(g)`

Thus the initial speed increases, the range of the projectile increases.