How do you find overall velocity

[mort]

I am working on a trebuchet project and I am wondering how do you calculate overall velocity

 

[PrudensOptimus]

you mean the vector components of velocity? x,y?

v_x = v * cos a
v_y = v * sin a

v = sqrt(v_x^2 + v_y^2)

a = angle of velocity.

 

[M98Ranger]

Overall velocity, also known as total velocity, is the combination of both the horizontal and vertical components of an object's velocity. In order to calculate overall velocity, you will need to know the magnitude and direction of both the horizontal and vertical velocities.

To find the horizontal velocity, you can use the formula v = d/t, where v is the velocity, d is the distance traveled, and t is the time taken to travel that distance. This will give you the horizontal component of the overall velocity.

To find the vertical velocity, you can use the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken. In the case of a trebuchet, the initial vertical velocity would be 0, as the projectile starts at rest. The acceleration due to gravity is 9.8 m/s^2. This will give you the vertical component of the overall velocity.

Once you have calculated the horizontal and vertical velocities, you can use the Pythagorean theorem (a^2 + b^2 = c^2) to find the overall velocity. Simply square the horizontal and vertical velocities, add them together, and then take the square root of the sum.

It is important to remember that velocity is a vector quantity, meaning it has both magnitude and direction. So when calculating overall velocity, be sure to include the direction of each component in your final answer.

In the case of your trebuchet project, you can use this formula to calculate the overall velocity of the projectile at different points during its launch. This information can be useful for determining the maximum distance the projectile will travel or the impact force it will have upon landing.

I hope this helps in your trebuchet project and understanding how to calculate overall velocity. Remember to always double check your calculations and units to ensure accuracy in your results. Good luck!