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  2. 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. The horizontal ranges of a projectile are equal for two complementary angles of ...

  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. Trajectory - Wikipedia

    en.wikipedia.org/wiki/Trajectory

    A familiar example of a trajectory is the path of a projectile, such as a thrown ball or rock. In a significantly simplified model, the object moves only under the influence of a uniform gravitational force field. This can be a good approximation for a rock that is thrown for short distances, for example at the surface of the Moon.

  5. Glossary of music terminology - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_music_terminology

    Melodies which move by a leap are called "disjunct". Octave leaps are not uncommon in florid vocal music. lebhaft (Ger.) Briskly, lively legato Joined (i.e. smoothly, in a connected manner) (see also articulation) leggiadro Pretty, graceful leggierissimo Very light and delicate leggiero or leggiermente

  6. Range (music) - Wikipedia

    en.wikipedia.org/wiki/Range_(music)

    The terms sounding range, written range, designated range, duration range and dynamic range have specific meanings. The sounding range [ 3 ] refers to the pitches produced by an instrument, while the written range [ 3 ] refers to the compass (span) of notes written in the sheet music, where the part is sometimes transposed for convenience.

  7. Music and mathematics - Wikipedia

    en.wikipedia.org/wiki/Music_and_mathematics

    Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory.

  8. Projectile - Wikipedia

    en.wikipedia.org/wiki/Projectile

    A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance. [ 1 ] [ 2 ] Although any objects in motion through space are projectiles, they are commonly found in warfare and sports (for example, a thrown baseball , kicked football , fired bullet ...

  9. Ballistics - Wikipedia

    en.wikipedia.org/wiki/Ballistics

    A projectile is any object projected into space (empty or not) by the exertion of a force. Although any object in motion through space (for example a thrown baseball) is a projectile, the term most commonly refers to a weapon. [8] [9] Mathematical equations of motion are used to analyze projectile trajectory. [citation needed]