Suppose that at t = 4 the position of a particle is s(4) = 8 m and its velocity is u(4) = 3 m/s. (a) Use an appropriate linearization L(t) to estimate the position of the particle at t = 4.2. (b)...

Extracted text: Suppose that at t = 4 the position of a particle is s(4) = 8 m and its velocity is u(4) = 3 m/s. (a) Use an appropriate linearization L(t) to estimate the position of the particle at t = 4.2. (b) Suppose that we know the particle's acceleration satisfies |a(t)| < 10="" m/s²="" for="" all="" times.="" determine="" the="" maximum="" possible="" value="" of="" the="" error="" |s(4.2)="" –="">