A particle's velocity is described by the function vx=kt2m/s, where vx is in m/s, t is in s, and k is a constant.
The particle's position at t0=0s is x0 = -8.10 m . At t1 = 2.00 s , the particle is at x1 = 8.00 m .
Determine the units of k in terms of m and s.