A motorcycle accelerated from 10 metre per second to 30 metre per second in 6 seconds. How far did it travel in this time?

U=10 m/s

v=30 m/s

t=6 sec

therefore, a = (v-u) / t

= (30-10) / 6

= (10/3) ms^-2

now, displacement=ut+0.5*a*t^2

=60 + 0.5 * (10/3) * 36

=120 m

And you can solve it in another way:

v^2=u^2+2as

or, s = (v^2-u^2) / 2a

= (900-100) / 6.6666666 ...

=120 m