The range is also useful in estimating another measure of spread, which is called variance or the standard deviation. The range, in its own way, is a very easy and very basic to understand of how the numbers in the given data set or given sample are spread out because, as stated earlier, it is relatively easy to do the calculation as there is the only required of a very basic arithmetic operation which is just subtracting the minimum from the maximum value, but the range it has few more applications for a given data set or a given sample in statistics. It counts numbers but ignores empty cells, text, the logical values TRUE and FALSE, and text values. Using the above information, the calculation of Max Value in excel Max Value In Excel The MAX Formula in Excel is used to calculate the maximum value from a set of data/array. You are required to calculate Range and come up with the variation the list has.īelow is given data for calculation of the range. Below are the given shortlisted stock or securities along with their latest stock market price, which is denoted in US$, where he is considering investing in. They provide good returns on stocks, offer dividends, and are considered safe investments. The list includes major blue-chip companies Blue-chip Companies Blue chip stocks are issued by companies possessing large market capitalization. Buffet, a well-known and esteemed investor around the world, are now considering US market stock and is in the process of analyzing a few of them where he wants to invest. How long is the ball in the air, and what height does it attain.ĭetail Explanation : Let the particle be projected with a velocity v at an angle α with the horizontal.The data or the sample collected has a variation of 45. Range, time of flight and maximum range down the plane is obtained by putting –β for β.įor a given range and given velocity there are two different directions of projection which are equally inclined to the direction of projection for maximum range.Įxample :If the maximum range of a particle is R, show that the greatest height attained is.

If from a point on a plane which is inclined at an angle β to the horizon, a particle is projected with a velocity u, at an angle α with the horizontal, in a plane passing through the normal to the inclined plane and the line of greatest slope, then Range and Time of Flight on an Inclined Plane: There are two direction for a given range and velocity and also two times for a given height. The velocity at any point is equal in magnitude, to that which would be acquired by a particle in falling freely from the directrix to that point. The path of a projectile is a parabola, given by y = x tan α. Θ : Angle which the velocity of the projectile at a certain point makes with the horizontal (It is the tangent to the path of the projectile at the point) Greatest height attained by a projectile h = Velocity and direction of motion at height ‘h’ v 2 = u 2 – 2gh and tan θ = Velocity and direction of motion after time ‘t’ v 2 = u 2 – 2ugt sinα + g 2t 2 and tanθ = The maximum height reached by a projectile during its motion is called greatest height.Ĭheck out Physics Formulas and NCERT Solutions for class 12 Physics prepared by Physics Wallah. The initial velocity with which the projectile is projected is called the velocity of projection. The time that elapses before it again meets the horizontal plane through the point of projection is called the time of flight. The distance between the point of projection and the point where the path meets any plane drawn through the point of projection is its range on the plane The path which the particle describes is called its trajectory The angle that the direction in which it is projected makes with the horizontal plane through the point of projection is called the angle of projection

The point from which the particle is projected is called the point of projection.

Then the particle is called a projectile.

When a particle is projected into the air,

Range of projectile formula