A particle moves along a horizontal line. Its position is modeled by a twice-differentiable function s measured in meters, where t is the time in seconds. At t=1, the particle’s velocity is 3m/s and its acceleration is −2m/s2.
a. State what the value v(1)=3 indicates about the particle’s motion at t=1 s.
b. State what the value a(1)=−2 indicates about the particle’s motion at t=1 s.
c. Explain why the particle’s speed is decreasing at t=1 s even though it is moving in the positive direction.