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  2. Newton's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Newton's_laws_of_motion

    The speed attained during free fall is proportional to the elapsed time, and the distance traveled is proportional to the square of the elapsed time. [39] Importantly, the acceleration is the same for all bodies, independently of their mass. This follows from combining Newton's second law of motion with his law of universal gravitation.

  3. 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. The next-to-last equation becomes grossly inaccurate at great distances. If an object fell 10 000 m to Earth, then the results of both equations differ ...

  4. Equations of motion - Wikipedia

    en.wikipedia.org/wiki/Equations_of_motion

    To state this formally, in general an equation of motion M is a function of the position r of the object, its velocity (the first time derivative of r, v = ⁠dr dt⁠ ), and its acceleration (the second derivative of r, a = ⁠d2r dt2⁠ ), and time t. Euclidean vectors in 3D are denoted throughout in bold.

  5. Acceleration - Wikipedia

    en.wikipedia.org/wiki/Acceleration

    Average acceleration. Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction at that point. The true acceleration at time t is found in the limit as time interval Δt → 0 of Δv/Δt.

  6. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    The vertical motion of the projectile is the motion of a particle during its free fall. Here the acceleration is constant, being equal to g. [note 1] The components of the acceleration are: =, =.* *The y acceleration can also be referred to as the force of the earth on the object(s) of interest.

  7. Proper acceleration - Wikipedia

    en.wikipedia.org/wiki/Proper_acceleration

    In the standard inertial coordinates of special relativity, for unidirectional motion, proper acceleration is the rate of change of proper velocity with respect to coordinate time . In an inertial frame in which the object is momentarily at rest, the proper acceleration 3-vector, combined with a zero time-component, yields the object's four ...

  8. Galileo's law of odd numbers - Wikipedia

    en.wikipedia.org/wiki/Galileo's_law_of_odd_numbers

    From the equation for uniform linear acceleration, the distance covered = + for initial speed =, constant acceleration (acceleration due to gravity without air resistance), and time elapsed , it follows that the distance is proportional to (in symbols, ), thus the distance from the starting point are consecutive squares for integer values of time elapsed.

  9. Gravitational acceleration - Wikipedia

    en.wikipedia.org/wiki/Gravitational_acceleration

    Gravitational acceleration. In physics, gravitational acceleration is the acceleration of an object in free fall within a vacuum (and thus without experiencing drag ). This is the steady gain in speed caused exclusively by gravitational attraction. All bodies accelerate in vacuum at the same rate, regardless of the masses or compositions of the ...

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