how does the angle of a projection affect the distance and height of a projectile?

Answer 1

the closer the angle is to 90 degrees the higher the projectile will go.
the closer the angle is to 45 degrees the farther the projectile will go.

Answer 2

The maximum height is achieved when the angle of projection is straight up.
The maximum distance a projectile travels is a more complex problem than one number can describe. The speed of the projectile also must be known to determine what angle results in the projectile going the farthest. Even if we restrained the speeds to something that would not result in the projectile traveling far enough to need to take the curvature of the surface of the earth into account there can be local topological anomalies that might mean that one has to aim above a certain angle to get the projectile to travel at all. In addition the longer a projectile is in the air the greater the slowing of the projectile due to friction. In addition the direction of the wind also affects what angle will result in the greatest distance. In the artificially ideal situation of a flat platform and zero air then the answer is 45 degrees from the horizontal.

Answer 3

for 45 deg angle the projectile will travel the farthest.
if angle is 90 deg distance will be zero, and height will be maximum.
if angle is 0 deg than height will be zero

Answer 4

For a given speed of projection,

The range is proportional to sin 2Ó©

The maximum value of sin 2Ó© = 1 and this is for 2Ó© = 90 or when Ó© = 45 degree.

For a given speed of projection,

The height is proportional to (sin Ó©) ^2.

The maximum value of sin Ó© = 1 and this is for Ó© = 90 degree.

For a given speed of projection

The ratio H/R = tan Ó© / 4

4H = R tan Ó©

When Ó© = 45 i.e., for maximum range 4H = R.

Or height is one fourth of the range.

Answer 5

with no air resistance, the closer you get to 45 degrees, the farther it goes and the closer you get to 90 degrees, the higher it goes, but with air resistance, closer you get to about 32 degrees the farther it goes