The acceleration of a particle moving horizontally under rectilinear motion is defined by the relation a=8.5t 2 -3.8t where a is in ft/s 2 and t is in s. Initially, the particle is moving at 70ft/s...

The acceleration of a particle moving horizontally under rectilinear motion is defined by the relation  a=8.5t²-3.8t where a is in ft/s²
and t is in s.

Initially, the particle is moving at 70ft/s and started at x=7.6 ft. Determine the position of the particle at t=3.7s. Round off only on the final answer expressed in 3 decimals. Indicate appropriate units.