assuming t is in seconds, I don't see how to get 37.963m
http://www.wolframalpha.com/input/?i=0.142sin(2t%2B0.19)+for+0%3C%3Dt%3C%3D210
unless t1 is not zero
X(t)=0.142sin(2t+0.19)
b) Find the travelled distance by block at t2=3.5min [37.963m].
2 answers
Forgot to mention it but t1 is at 0.1 s