marek

Physics - Equations of Motion

Key Equation

• The equation for uniformly accelerated motion is given by: $V^2 = u^2 + 2as$ where:

  • $V$ = final velocity

  • $u$ = initial velocity

  • $a$ = acceleration

  • $s$ = displacement

Example Calculation

• Given:

  • Initial velocity, $u = 36 ext{ m/s}$

  • Acceleration, $a = 105 ext{ m/s}^2$

• Plugging the values into the equation:

  • $V^2 = (36)^2 + 2 imes 105 imes s$

Solving for Displacement (s)

• From the context, we can assume a scenario where the total displacement is calculated or related to the energy or work done:

  • If substituting values, such as 2500 for total energy or final states:

  • The equation can be structured as: $2500 = 900 + 20s$ where

    • 900 represents kinetic energy or some initial state value

    • 20 being another constant in the context of this equation.

• Rearranging the equation to find $s$:

  • $2500 - 900 = 20s$

  • $1600 = 20s$

  • Dividing both sides by 20 gives:
    $s = rac{1600}{20} = 80 ext{ m}$

Conclusion

• In this specific instance, if we used the listed math properly and correctly identified initial parameters and transformations, we could solve for (s) yielding:

  • $s = 80 ext{ m}$

• Clearly highlight how these equations interrelate, especially in problems involving kinematics and energy calculations.