What is its velocity when it returns to the

level from which it started?
Answer in units of m/s

The velocity when it returns to the original is point is exactly equal and opposite of initial velocity.

To determine the velocity when an object returns to its starting level, we need to consider the initial velocity, acceleration, and displacement of the object.

If the object is subject to gravity but no other forces, we can assume that its velocity changes due to acceleration due to gravity. The acceleration due to gravity is approximately 9.8 m/s^2, directed downward.

When the object reaches its starting level, its displacement is zero, meaning it has traveled the same vertical distance upward and downward. Therefore, the initial velocity and final velocity will have the same magnitude but opposite signs.

We can use the following equation to find the final velocity:

v^2 = u^2 + 2as

where:
v = final velocity
u = initial velocity
a = acceleration
s = displacement

Since the displacement is zero, the equation becomes:

v^2 = u^2

Taking the square root of both sides:

v = ±√(u^2)

Since velocity is a vector quantity, we need to consider both positive and negative solutions. Therefore, the final velocity can be:

v = u or v = -u

Hence, when the object returns to its starting level, its final velocity can be either equal to its initial velocity (v = u) or equal in magnitude but opposite in direction (-v = -u).

So, the final velocity when the object returns to the level from which it started can be expressed as ±u, where u is the magnitude of the initial velocity.