Answer to Question #52046 in Quantum Mechanics for promise

Question

If s is distance and t is time, what must be the dimensions of a and b in the equation
s=asin(bt)
?


[a]=[L]−1
,
[b]=[L]−1

[a]=[T]−1
,
[b]=[L]

[a]=[L]
,
[b]=[T]−1

[a]=[L]2
,
[b]=[T]−2