If the initial speed of an object increases while its mass remains constant, the final velocity of the object will also increase.
This can be understood by considering Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be written as:
F = m * a
In this equation, 'F' represents the net force acting on the object, 'm' represents the mass of the object, and 'a' represents the acceleration of the object.
When the mass of the object remains constant, an increase in the initial speed implies an increase in the magnitude of the initial velocity. As a result, if the net force acting on the object remains constant, the acceleration of the object will also remain constant. The object will experience a continuous acceleration throughout its motion.
Since the acceleration is constant, we can use the equation of motion for uniformly accelerated motion:
v = u + a * t
In this equation, 'v' represents the final velocity, 'u' represents the initial velocity, 'a' represents the acceleration, and 't' represents the time taken.
As the initial velocity ('u') increases, and the acceleration ('a') remains constant, the final velocity ('v') will also increase. Thus, an increase in the initial speed of an object leads to an increase in its final velocity, assuming the mass remains constant and the net force acting on the object is unaffected.