To maximize the range with respect to the firing angle θ we differentiate R with respect to θ and set this equal to 0. g 2 ∙ cos

**2θ**( ) ∙ 0 therefore**2θ**π 2 from which we obtain θ π 4 or**45 degrees**. Suppose now we fire the projectile up a ramp which makes an angle α with respect to the horizontal. 1.Likewise, people ask, what is the angle for maximum range?

Maximum Range. Imagine a cannonball launched from a cannon at three different launch angles -

**30-degrees**,**45-degrees**, and 60-degrees. The launch speed is held constant; only the angle is changed. Imagine as well that the cannonballs do not encounter a significant amount of air resistance.How does the angle affect the distance?

Vertical

**Distance**. The vertical**distance**, or height, of the ball when thrown or kicked increases when you launch it at a greater**angle**. As the ball travels upward on its parabolic flight path, the vertical**distance**it travels decreases because the vertical velocity is decreasing against the push of gravity.What is the best angle to throw a ball?

Most people know that a ball without air resistance (traditional projectile motion) goes the farthest if you throw it at a

**45 degree**angle.