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.
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
The proof that 45 degrees provides the maximum range for projectile motion is based on the fact that at this angle, the horizontal and vertical components of the initial velocity are equal. This results in the projectile traveling the farthest distance before hitting the ground.
To determine the maximum height reached in projectile motion, you can use the formula: textMaximum height left(fracv02 sin2(theta)2gright) where ( v0 ) is the initial velocity, ( theta ) is the launch angle, and ( g ) is the acceleration due to gravity. By plugging in these values, you can calculate the maximum height the projectile reaches.
45 degrees is the furthest one
Air resistance acts as a resistive force that opposes the motion of the projectile. It causes the projectile to experience a decrease in speed and alters its trajectory, leading to shorter horizontal distances and lower maximum heights compared to ideal projectile motion in a vacuum. Additionally, air resistance can cause the projectile to fall at a steeper angle compared to when it is neglected.
Projectile motion is a form of motion in which a projectile is thrown near the earth's surface. When thrown, the projectile moves along a curved path because of gravity. An example of projectile motion is a sprinkler shooting water into the air and the water falling back down to Earth.
Common projectile motion problems include determining the maximum height reached by an object, the time of flight, the range of the projectile, and the velocity at a certain point. Solutions to these problems involve breaking down the motion into horizontal and vertical components, using kinematic equations to calculate the necessary parameters, and applying the principles of projectile motion such as the independence of horizontal and vertical motion.
Common projectile problems encountered in physics include calculating the initial velocity, angle of launch, maximum height, range, time of flight, and impact velocity of a projectile. These problems often involve using equations of motion and principles of projectile motion to analyze the motion of an object launched into the air.
Common projectile problems in physics include determining the initial velocity, angle of launch, maximum height, range, and time of flight of a projectile. These problems can be solved using equations of motion, such as the kinematic equations, and applying principles of projectile motion, such as the independence of horizontal and vertical motion. By breaking down the problem into horizontal and vertical components, one can analyze the motion of the projectile and calculate the desired quantities.
Projectile motion has two components horizontal motion and vertical motion. Gravity affects only the vertical motion of projectile motion.
Projectile.
motion of a projectile