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  2. Motion graphs and derivatives - Wikipedia

    en.wikipedia.org/wiki/Motion_graphs_and_derivatives

    Since the velocity of the object is the derivative of the position graph, the area under the line in the velocity vs. time graph is the displacement of the object. (Velocity is on the y-axis and time on the x-axis. Multiplying the velocity by the time, the time cancels out, and only displacement remains.)

  3. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    In projectile motion, the horizontal motion and the vertical motion are independent of each other; that is, neither motion affects the other. This is the principle of compound motion established by Galileo in 1638, [ 1 ] and used by him to prove the parabolic form of projectile motion.

  4. Range of a projectile - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_projectile

    d is the total horizontal distance travelled by the projectile. v is the velocity at which the projectile is launched; g is the gravitational acceleration—usually taken to be 9.81 m/s 2 (32 f/s 2) near the Earth's surface; θ is the angle at which the projectile is launched; y 0 is the initial height of the projectile

  5. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    Intuitively, the velocity increases linearly, so the average velocity multiplied by time is the distance traveled while increasing the velocity from v 0 to v, as can be illustrated graphically by plotting velocity against time as a straight line graph. Algebraically, it follows from solving [1] for

  6. External ballistics - Wikipedia

    en.wikipedia.org/wiki/External_ballistics

    If the projectile is not well stabilized, it cannot remain pointing forward through the transonic region (the projectile starts to exhibit an unwanted precession or coning motion called limit cycle yaw that, if not damped out, can eventually end in uncontrollable tumbling along the length axis). However, even if the projectile has sufficient ...

  7. Projectile - Wikipedia

    en.wikipedia.org/wiki/Projectile

    Mathematically, it is given as = ⁡ / where = acceleration due to gravity (app 9.81 m/s²), = initial velocity (m/s) and = angle made by the projectile with the horizontal axis. 2. Time of flight (): this is the total time taken for the projectile to fall back to the same plane from which it was projected.

  8. Trajectory - Wikipedia

    en.wikipedia.org/wiki/Trajectory

    A trajectory or flight path is the path that an object with mass in motion follows through space as a function of time. In classical mechanics, a trajectory is defined by Hamiltonian mechanics via canonical coordinates; hence, a complete trajectory is defined by position and momentum, simultaneously. The mass might be a projectile or a ...

  9. File:Ideal projectile motion for different angles.svg - Wikipedia

    en.wikipedia.org/wiki/File:Ideal_projectile...

    Plot of trajectories of projectiles launched at different elevation angles but the same speed of 10 m/s in a vacuum and uniform downward gravity of 10 m/s^2; t = time from launch, T = time of flight, R = range and H = highest point of trajectory (indicated with arrows); points are at 0.05 s intervals and length of their tails is linearly ...