Increasing an object's speed does not directly affect its acceleration, assuming the mass remains constant. Acceleration is determined by the net force acting on an object and is independent of its velocity. Mathematically, this can be expressed using Newton's second law of motion:
F = m * a
Where: F is the net force acting on the object, m is the mass of the object, and a is the acceleration of the object.
According to this equation, if the mass of the object remains constant, any change in acceleration must be caused by a change in the net force acting on the object.
However, it is important to note that the object's speed and acceleration can be related indirectly. If an object is subjected to a constant net force, its acceleration will be constant (assuming mass is constant). In such a case, the object's speed will increase linearly with time, as described by the equation:
v = u + at
Where: v is the final velocity of the object, u is the initial velocity of the object, a is the constant acceleration, and t is the time.
So, while increasing an object's speed does not directly affect its acceleration, a constant acceleration can lead to an increase in the object's speed over time.