Each side of the equation would have its own constant of integration. You can combine the two constants into one constant. Then, this constant is determined by the initial conditions as you have done.Alexanddros81 said:
The block is released from rest, meaning its initial velocity is zero.
The acceleration of the block can be calculated using the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity (which is zero), and t is the time. The specific acceleration value will depend on factors such as the block's mass and the force acting on it.
To determine the velocity of the block at a specific time, you can use the formula vf = vi + at, where vf is the final velocity, vi is the initial velocity (which is zero), and a is the acceleration calculated in the previous step. Plug in the values and solve for vf.
The relationship between time and velocity for a block released from rest is linear. This means that as time increases, the velocity of the block will also increase at a constant rate, assuming there is no external force acting on the block.
The surface the block is released on can affect its velocity by providing friction or resistance. If the surface is rough, it will slow down the block and decrease its velocity. If the surface is smooth, it will allow the block to maintain a higher velocity. Additionally, the angle of the surface can also affect the velocity of the block.
