The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s (t ) = 1t2 - In(t + 3), t20 If appropriate, enter answers using In . Use inf to represent co. (a) Find the velocity and acceleration functions. v(t): a(t): (b) Find the position, velocity, speed, and acceleration at t = 1. Position (ft): Velocity (ft/sec): Speed (ft/sec): Acceleration (ft/sec2): (c) At what times is the particle stopped? Enter as a comma-separated list. (d) When is the particle speeding up? Slowing down? Enter using interval notation. Speeding up: Slowing down