Final answer:
The final velocity of a bicycle after time taccel can be computed using the equation V = V0 + a*t for constant acceleration, or through integration of a time-varying acceleration function V(t) = ∫ a(t) dt + C1.
Step-by-step explanation:
To calculate the final velocity of the bicycle after a specific time taccel, we need to understand that acceleration is the rate of change of velocity. If we are given the acceleration as a function of time and the initial velocity, we can integrate the acceleration over time to find the velocity.
If the acceleration is constant, the equation simplifies to V = V0 + a*t, where V is the final velocity, V0 is the initial velocity, a is the acceleration, and t is the time. If acceleration varies with time, we must perform an integral, such as V(t) = ∫ a(t) dt + C1, where C1 is the constant of integration, representing the initial velocity.