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  • Deriving the Lagrangian for a free particle - Physics Stack Exchange
    Proving that a free particle moves with a constant velocity in an inertial frame of reference (§ § $\mathrm{\S }$ 3 Galileo's relativity principle) The proof begins with explaining that the Lagrangian must only depend on the speed of the particle (v2 =v2 v 2 = v 2 ${v}^{2}={\mathbf{v}}^{2}$):
  • How do you calculate the recession velocity? - Physics Stack Exchange
    If you want to find the recession velocity of a galaxy which has an absorption spectrum shown below, the Δλ Δ λ $\mathrm{\Delta }\lambda$ is the same for all the changes (approx from 400 to 430, 410 to 440, 590 to 620, etc ), so when using the equation how do you know which λ λ $\lambda$ to use as the rest wavelength because they all give different results?
  • kinematics - What does instantaneous velocity mean? - Physics Stack . . .
    To work up to instantaneous velocity of the body at t = 1 sec, we can use the definition of average velocity Since we want the velocity at the instant t = 1 sec let's try working with the formula for avg velocity Let's check the displacement covered by the body from 0 to 1 sec and divide it by 1 sec
  • kinematics - What does the dot product of the velocity vector and . . .
    I then calculate an acceleration vector using the 2 velocity vectors over 0 2s If I were to calculate a dot product between the acceleration vector and the first velocity vector and use that along with the magnitude of the first vector and magnitude of the acceleration vector to calculate the angle between the acceleration vector and the
  • What does the magnitude of the acceleration mean? - Physics Stack Exchange
    Your question is kind of vague but I will try to respond Acceleration is defined as the time rate of change of velocity Since velocity has both magnitude and direction, so does acceleration In other words, acceleration is a vector The length of the vector is its magnitude Its direction is the direction of the vector So the magnitude of acceleration is the magnitude of the acceleration
  • vectors - How can I calculate the speed of an object knowing its . . .
    From the given information, how does one calculate the total actual speed of the ball relative to the direction it is travelling in at any given point (ignoring drag)? As an example (horizontal and vertical components of velocity respectively):
  • Why is force dependent on acceleration, not velocity?
    ${F}_{\text{net}}=ma,$ since it shows explicitly which force is being represented on LHS of the equation is In your train example, if the train is traveling at a constant velocity of 100 mph, the acceleration is zero, and by Newton's second law the net force is also zero But this has no bearing on what force the train would exert on something if it collided
  • Is acceleration $a = s t^2$, or $a = 2s t^2$, or something third?
    This is the same answer as the one you arrive at using the method of calculating the area under the velocity-time curve You may be confused in your first statement from hearing that for uniform acceleration, distance 'goes like' or 'is of the order' t2 t 2
  • Force of an impact on water - Physics Stack Exchange
    Impact on water is a very complex topic Your simple calculation just figures out the velocity of a free-falling body after a 50 m drop That just tells you the initial relative velocity of body and water surface It doesn't tell you much about the force at impact, or whether the person survived There are two things that might kill on impact: high local pressure on the surface of the body





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