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  2. Tsiolkovsky rocket equation - Wikipedia

    en.wikipedia.org/wiki/Tsiolkovsky_rocket_equation

    A rocket's required mass ratio as a function of effective exhaust velocity ratio. The classical rocket equation, or ideal rocket equation is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket: a device that can apply acceleration to itself using thrust by expelling part of its mass with high velocity and can thereby move due to the ...

  3. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    Given initial velocity u, one can calculate how high the ball will travel before it begins to fall. The acceleration is local acceleration of gravity g. While these quantities appear to be scalars, the direction of displacement, speed and acceleration is important. They could in fact be considered as unidirectional vectors.

  4. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    Projectile motion. Parabolic trajectories of water jets. Components of initial velocity of parabolic throwing. Ballistic trajectories are parabolic if gravity is homogeneous and elliptic if it is radial. Projectile motion is a form of motion experienced by an object or particle (a projectile) that is projected in a gravitational field, such as ...

  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. If an object fell 10 000 m to Earth, then the results of both ...

  6. 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.

  7. Velocity - Wikipedia

    en.wikipedia.org/wiki/Velocity

    Velocity is a physical vector quantity: both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s −1). For example, "5 metres per second" is a scalar, whereas "5 ...

  8. Escape velocity - Wikipedia

    en.wikipedia.org/wiki/Escape_velocity

    t. e. In celestial mechanics, escape velocity or escape speed is the minimum speed needed for an object to escape from contact with or orbit of a primary body, assuming: Ballistic trajectory - no other forces are acting on the object, including propulsion and friction. No other gravity-producing objects exist.

  9. Terminal velocity - Wikipedia

    en.wikipedia.org/wiki/Terminal_velocity

    Terminal velocity. The downward force of gravity (Fg) equals the restraining force of drag (Fd) plus the buoyancy. The net force on the object is zero, and the result is that the velocity of the object remains constant. Terminal velocity is the maximum speed attainable by an object as it falls through a fluid (air is the most common example).