If an object falls from rest and then accelerates vertically upwards, its velocity at any point along its path can be determined using the laws of motion.
Let's assume that the positive direction is upward. Initially, when the object falls from rest, its velocity is zero (v₀ = 0). As it accelerates vertically upwards, its velocity increases.
The velocity of the object at any given point can be calculated using the following equation of motion:
v = v₀ + at
Where: v is the final velocity, v₀ is the initial velocity (zero in this case), a is the acceleration, and t is the time.
Since the object is accelerating upwards, the acceleration (a) would be positive. However, the value of acceleration would depend on the specific situation or force acting on the object.
If we know the acceleration at any given point, we can calculate the velocity at that point. However, without knowing the exact value of acceleration or the specific forces involved, it is not possible to determine the exact velocity at any point along the object's path.