what is the relationship between launch angle and range?
608731
Launch angles closer to 45 ° 45\degree 45° give longer maximum horizontal distance (range) if initial speed is the same (see figure 5 above). These launches have a better balance of the initial velocity components that optimize the horizontal velocity and time in air (see figure 4).
360845
So, the range is the biggest distance between any two data points. It's a way of measuring variability. The midrange, on the other hand, is the point half way between the two most extreme values. ... So, by being the middle point between the max and min, the midrange is actually trying to measure the center of the data.
248300
Summary: The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
350031
if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion. As sine of 0° is 0, then the second part of the equation disappears, and we obtain : hmax = h - initial height from which we're launching the object is the maximum height in projectile motion.
1122704
It is very important to remember that the acceleration is constant but the velocity vector has changed in magnitude and direction. At the maximum height where the velocity is zero the acceleration is still →g. Projectiles that have an initial velocity upwards will have zero velocity at their greatest height, hmax.
391495
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. ... That means that the best way to launch a high-altitude projectile is to send it flying at a 90-degree angle to the ground—straight up.
1005561
The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!
543324
The maximum height of a projectile is half the range of the horizontal length.
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['• Range= Largest value (L) – Smallest Value (S)', '• Coefficient of Range= (L- S)/ (L   S)', 'Merits of Range:', 'It is simple to understand and easy to calculate.', 'It is less time consuming.', 'Demerits of Range:', 'It is not based on each and every item of the distribution.', 'It is very much affected by the extreme values.']
407691
Any two angles that have a 2:1 ratio will result in the same range when launched at the same speed. b. Two launch angles that add to 90° will result in the same range when launched at the same speed.
348363
Use the formula (0 - V) / -32.2 ft/s^2 = T where V is the initial vertical velocity found in step 2. In this formula, 0 represents the vertical velocity of the projectile at its peak and -32.2 ft/s^2 represents the acceleration due to gravity.
1423907
The intensity of radiation at a given distance from a point source is inversely proportional to the square of the distance. What is the relationship between distance and density/IR exposure? The further the tube is from the target, the less the x-ray intensity will be.
1218043
As nouns the difference between radius and range is that radius is (anatomy) the long bone in the forearm, on the side of the thumb while range is a line or series of mountains, buildings, etc.
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Introduction. A 3D radar measures 3D position (range, azimuth, elevation angle and possibly range rate). A 2D radar measures 2D position (range, azimuth and possibly range rate.) (with range and range rate, but no elevation information).
634509
['Horizontal distance can be expressed as x = V * t .', 'Vertical distance from the ground is described by the formula y = – g * t² / 2 , where g is the gravity acceleration and h is an elevation.']
1412126
bullet . ... TBR delivers the ballistic equivalent range to the target, accounting for the effects of inclines or declines on the path of your bullet or arrow . For rifle shooters, the Leupold team has added to the TBR functionality by adding wind hold calculations that will provide a fixed 10 MPH full wind value .
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"Provided the ball speed, launch angle and spin rate are the same, a draw and fade will carry and roll the same distance. However, from a practical perspective, most club golfers will hit a draw further than a fade, because when they hit a draw they reduce the loft, leading to lower spin rates.