( f(t) = at2/3 ), where ( a ) is a constant with dimension [force/time3/2]. At time ( t = 2 ) sec, the particle is located at ( x(t = 2) = 3 ) m and has velocity ( v(t = 2) = 2 ) m/sec.
a) ( a = 2.25 ) N/(s3/2)
b) ( a = 3.00 ) N/(s3/2)
c) ( a = 3.75 ) N/(s3/2)
d) ( a = 4.50 ) N/(s3/2)