Directions: The following problems involve straight line motion. Unless otherwise stated, the functions modeling the position, velocity, and acceleration are continuous and differentiable. 1. For ???? 0, a particle moves along the ???? axis with velocity ????(????) = ????2 8???? + 12. It is known that ????(0) = 5. (a) Find the acceleration of the particle when ???? = 10.(b) Find all times when the particle is at rest.(c) For what times is the particle moving to the right?(d) Find ????(3)