Suppose a projectile is fired from a gun, we know that "g" remains constant and as we use horizontal component of velocity in range sov0 also remains constant. Only sin2θ responsible for change in range. The range will be maximum if sin2θ has its maximum value that is 1.
for maximum range:
sin2θ = 1
2θ = sin-1 (1)
θ = 90/2
θ = 45 (degree)
therefor if projectile is projected with the angle of 45(degree) its range will be maximum.
For a given velocity, the maximum distance will be achieved when the projectile is launched at an angle of 45o (neglecting air resistance).
motion of a projectile
false
In the usual simple treatment of projectile motion, the horizontal component of the projectile's velocity is assumed to be constant, and is equal to the magnitude of the initial (launch) velocity multiplied by the cosine of the elevation angle at the time of launch.
Upward motion on a roller coaster converts kinetic energy into potential energy. Downward motion converts potential energy into kinetic energy. Forward motion is a result of excess potential enegy converted into kinetic energy that cannot be expended while falling.
It is a very good question! As per the law of Newton, when a matter is in motion, it will be in motion. Unless affected by some external force. Now the maximum distance that can be traveled by a matter or mass. There is no end to the time. There is no end to the space. Both are infinite. Nobody can answer the maximum distance traveled by the object.
You are wrong
45 degrees is the furthest one
-- In what direction should a projectile be launched in order to achieve the maximum range ? -- Toward 45 degrees above the horizontal.
hypothesis on projectile motion
Because a projectile by definition, is in motion.
Projectile motion has two components horizontal motion and vertical motion. Gravity affects only the vertical motion of projectile motion.
motion of a projectile
gravity
Gravity
A feather falling in a vacuum is not considered as a projectile motion. Gravity, which is absent in a vacuum, is one of the components of projectile motion.
Gravity
Gravity