Final answer:
The units for the constant k, given time in seconds, would depend on the variables k relates to; the SI unit for time is the second. Dimensional analysis is used to ensure that all units are correctly converted and consistent within a given calculation in physics.
Step-by-step explanation:
The question is regarding the units for a constant k, given that time is measured in seconds (s). When converting units, especially in physics, it's crucial to use the correct SI units, which for time is the second, for length is the meter (m), and for mass is the kilogram (kg). The provided information suggests a scenario where a velocity is given in kilometers per hour (km/h), and time is given in seconds.
To convert the velocity into meters per second (m/s), you would first convert kilometers to meters by multiplying by 1,000 (since 1 km = 1,000 m), and then convert hours to seconds by dividing by 3,600 (since 1 hour = 3,600 seconds). This is part of a process known as dimensional analysis, which helps ensure that calculations in physics are done with the correct units.