Consider the following trajectory of a moving object \( \r = (15t, 15t²) \). Find the tangential and normal components of the acceleration.
a) \( aₜ = 30t, \, aₙ = 30 \)
b) \( aₜ = 15t, \, aₙ = 15 \)
c) \( aₜ = 30, \, aₙ = 30t \)
d) \( aₜ = 15, \, aₙ = 15t \)