50m
A projectile has maximum horizontal range when it is launched at an angle of 45 degrees to the horizontal. This angle allows for the ideal balance between the horizontal and vertical components of the projectile's velocity, ensuring that it travels the farthest distance before hitting the ground.
Increasing the horizontal velocity to the maximum in a projectile motion will cause the object to travel further horizontally before hitting the ground. This is because the horizontal velocity determines how far the object will travel in the horizontal direction before gravity pulls it down. The vertical motion of the object will remain the same, but the increased horizontal velocity will result in a longer horizontal distance traveled.
The horizontal speed of an object affects its trajectory by determining how far it will travel horizontally before hitting the ground. A higher horizontal speed will result in a longer horizontal distance traveled before hitting the ground, while a lower horizontal speed will result in a shorter distance.
When an object is launched at a 45-degree angle, it splits the initial velocity into horizontal and vertical components equally. This allows for the maximum range because the horizontal component remains constant throughout the flight, while the vertical component decreases due to gravity. This balance between horizontal and vertical components at 45 degrees results in the maximum distance traveled before hitting the ground.
-- the initial horizontal speed of the projectile -- the time it remains in flight before it hits the ground
Its either reality based (vertical is up-down, horizontal is ground distance) or it's purely arbitrary.
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.
Its either reality based (vertical is up-down, horizontal is ground distance) or it's purely arbitrary.
82.4 in
From its starting position all the way to the ground. :)
A 45-degree throw maximizes the horizontal distance traveled by balancing the vertical and horizontal components of the projectile's velocity. At this angle, the horizontal component is at its maximum, maximizing the range the object can travel before hitting the ground. Any angle higher or lower will result in a shorter distance traveled.
No. The horizontal distance depends on how close the the ground the gun is. From the firing position, a bullet dropped to the ground will strike the ground in the same time as a bullet shot horizontally forward.