Answer:
B) and C)
Explanation:
Dimensional check involves using the units of the fundamental quantities, like mass to verify the accuracy of a formula or model.
For this case, the quantities required are Length and Time. Their units are Metre (m) and Seconds (s) respectively.
Since x refers to Distance, v refers to velocity, a refers to acceleration and t refers to time,
A) x = vt² + 2at
=> m = (m/s * s²) + (m/s² * s)
m = ms + m/s
The units are unbalanced, hence, it is not dimensionally correct.
B) x = v₀t + 2at²
=> m = (m/s * s) + (m/s² * s²)
m = m + m
The units are balanced, hence, it is dimensionally correct.
C) x = v₀t + ¹/₂at²
=> m = (m/s * s) + (m/s² * s²)
m = m + m
The units are balanced, hence, it is dimensionally correct.
