If a worker is driving to work down a straight road toward the factory at a constant speed, we can assume that there are no acceleration or deceleration phases involved. In this case, we can directly calculate the time taken to cover half the distance based on the worker's speed.
Let's denote the total distance to the factory as d, and the worker's constant speed as v. We want to find the time taken to cover half the distance, which we'll denote as tₕ.
The total time taken to reach the factory is given by:
t = d/v
To find tₕ, we divide the total time by 2 since we want to determine the time taken to cover half the distance:
tₕ = (d/v)/2 = d/(2v)
Therefore, if we know the total distance to the factory (d) and the worker's constant speed (v), we can calculate the time taken to cover half the distance (tₕ) using the formula tₕ = d/(2v).