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If the projectile's position (x,y) and launch angle (θ) are known, the maximum height can be found by solving for h in the following equation: = () (). Angle of elevation (φ) at the maximum height is given by:
The path of this projectile launched from a height y 0 has a range d.. In physics, a projectile launched with specific initial conditions will have a range.It may be more predictable assuming a flat Earth with a uniform gravity field, and no air resistance.
This equation means that the pressure at point is the pressure at the interface plus the pressure due to the weight of the liquid column of height . In this way, we can calculate the pressure at the convex interface p i n t = p w − ρ g h = p a t m − ρ g h . {\displaystyle p_{\rm {int}}=p_{\rm {w}}-\rho gh=p_{\rm {atm}}-\rho gh.}
The first equation shows that, after one second, an object will have fallen a distance of 1/2 × 9.8 × 1 2 = 4.9 m. After two seconds it will have fallen 1/2 × 9.8 × 2 2 = 19.6 m; and so on. On the other hand, the penultimate equation becomes grossly inaccurate at great distances.
To find the angle giving the maximum height for a given speed calculate the derivative of the maximum height = / with respect to , that is = / which is zero when = / =. So the maximum height H m a x = v 2 2 g {\displaystyle H_{\mathrm {max} }={v^{2} \over 2g}} is obtained when the projectile is fired straight up.
A differential equation of motion, usually identified as some physical law (for example, F = ma), and applying definitions of physical quantities, is used to set up an equation to solve a kinematics problem. Solving the differential equation will lead to a general solution with arbitrary constants, the arbitrariness corresponding to a set of ...
This property is usually used by physicists to estimate the height a liquid will rise in a particular capillary tube, radius known, without the need for an experiment. When the characteristic height of the liquid is sufficiently less than the capillary length, then the effect of hydrostatic pressure due to gravity can be neglected. [9]
In a distribution, full width at half maximum (FWHM) is the difference between the two values of the independent variable at which the dependent variable is equal to half of its maximum value. In other words, it is the width of a spectrum curve measured between those points on the y -axis which are half the maximum amplitude.