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  2. Trajectory - Wikipedia

    en.wikipedia.org/wiki/Trajectory

    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.

  3. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    The range and the maximum height of the projectile do not depend upon its mass. Hence range and maximum height are equal for all bodies that are thrown with the same velocity and direction. The horizontal range d of the projectile is the horizontal distance it has traveled when it returns to its initial height (=).

  4. Jurin's law - Wikipedia

    en.wikipedia.org/wiki/Jurin's_Law

    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.}

  5. Equations for a falling body - Wikipedia

    en.wikipedia.org/wiki/Equations_for_a_falling_body

    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.

  6. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_projectile

    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.

  7. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    There are two main descriptions of motion: dynamics and kinematics.Dynamics is general, since the momenta, forces and energy of the particles are taken into account. In this instance, sometimes the term dynamics refers to the differential equations that the system satisfies (e.g., Newton's second law or Euler–Lagrange equations), and sometimes to the solutions to those equations.

  8. Escape velocity - Wikipedia

    en.wikipedia.org/wiki/Escape_velocity

    Escape speed at a distance d from the center of a spherically symmetric primary body (such as a star or a planet) with mass M is given by the formula [2] [3] = = where: G is the universal gravitational constant (G ≈ 6.67 × 10 −11 m 3 ⋅kg −1 ⋅s −2 ‍ [4])

  9. Orbit equation - Wikipedia

    en.wikipedia.org/wiki/Orbit_equation

    In astrodynamics, an orbit equation defines the path of orbiting body around central body relative to , without specifying position as a function of time.Under standard assumptions, a body moving under the influence of a force, directed to a central body, with a magnitude inversely proportional to the square of the distance (such as gravity), has an orbit that is a conic section (i.e. circular ...