The peak height of a projectile is determined by the initial value of the vertical velocity component. The greater the initial value of v y , the higher that a projectile will rise. The projectile launched at 60-degrees has the greatest v y , and as such the greatest peak height.
Why is a 45 degree angle the best trajectory?
As ball speed increases, so does the drag force and the lower is the required launch angle. A launch at 45 degrees would allow the ball to remain in the air for a longer time , but it would then be launched at a lower horizontal speed at the start and it would slow down more because of the longer flight time.
How do you determine your highest height?
- if α = 90°, then the formula simplifies to: hmax = h + V02 / (2 * g) and the time of flight is the longest. ...
- if α = 45°, then the equation may be written as: ...
- if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that’s the case of horizontal projectile motion.
Does angle affect distance?
If the angle is greater or less than 45 degrees, the distance covered in flight is less . This is because the 45 degrees is half way between vertical and horizontal and will ensure the greatest amount of each component. If the angle of release is too high for a given activity, the distance gained will be poor.
How does angle affect height?
Higher launch angles have higher maximum height
The maximum height is determined by the initial vertical velocity . Since steeper launch angles have a larger vertical velocity component, increasing the launch angle increases the maximum height.
What is the angle of release?
angle of release (angle of projection; angle of take-off)
The angle, relative to the ground, at which a body is projected into the air . The angle of release is an important factor affecting the flight path of a projectile.
What angle is best for distance?
The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees . A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.
What is the optimal angle to throw?
In most cases you should see that a medium, 45-degree angle made the ball go the farthest. When you throw the ball at a very shallow angle, gravity pulls it down and the ground is closer, which ends the throw sooner so it does not have as much time to travel as far forward.
What angle achieves maximum range?
The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees .
What is maximum height for girl?
| Age (years) 50th percentile height for girls (inches and centimeters) | 17 64 in. ( 163 cm) | 18 64 in. (163 cm) |
|---|
What is the height reached by the ball after 1 second?
After 1 second, the height of the ball is 86 feet .
What is the maximum height of the ball?
| Variable Value | v 0 m/s | Δy FIND | a -9.8 m/s 2 | t 0.40 s |
|---|
Why is 45 degrees maximum range?
The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.
How does the range change as the angle increases?
This highest point increases as the angle increases . ... For instance, the range is the same for a 15° and a 75° angle. The range is also the same for a 30° and a 60° launch angle. As a final example, the range is the same for a 40° and a 50° launch angle.
How does changing the angle affect the range?
In the nutshell, the range,R, increases with increasing angle of projection for 0° ≤ θ < 45° ; the range,R, is maximum when θ = 45°; the range,R, decreases with increasing angle of projection for 45° < θ ≤ 90°. Horizontal range Horizontal range is same for a pair of projection angle.
