No, acceleration should not be measured in m/s△. Acceleration is a physical quantity that represents the rate of change of velocity over time. It is commonly measured in units such as meters per second squared (m/s²) in the International System of Units (SI).
The formula for acceleration is:
acceleration = (change in velocity) / (time taken)
The change in velocity (Δv) is measured in meters per second (m/s), and the time taken (Δt) is measured in seconds (s). Therefore, the units for acceleration are (m/s) / s, which simplifies to m/s².
The concept of the "a-th triangle number" is unrelated to the measurement of acceleration. Triangle numbers are a sequence of numbers that can be represented as an equilateral triangle, where each row represents a number greater than the previous row by one. It is not directly applicable to the measurement of physical quantities such as acceleration.