The SI unit of acceleration is?
\(\text{ms}^{-2}\)
Acceleration is defined as the rate of change of velocity with time. Velocity has SI units of metre per second (m/s), and dividing metre per second by second gives metre per second squared.
Written in exponent form, m/s divided by s is \(\dfrac{\text{m}}{\text{s}^{2}}\), which is expressed compactly as \(\text{m}\,\text{s}^{-2}\). Among the options, only \(\text{ms}^{-2}\) matches this dimensional form, while \(\text{ms}\) is the unit of a length-time product, \(\text{m}^{-1}\) is reciprocal length and \(\text{ms}^{2}\) would raise time to the wrong power.
Hence, \(\text{ms}^{-2}\).
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