1. A particle is moving along a straight line such that its velocity is defined as v = (-4s-35) m/s, where s is in meters. If at t=0 s=3m, determine the velocity as a function of time, and determine the velocity when t=1s. (6 points)
2. The position of a particle that moves along the x-axis is defined by x = -3$t^2$ + 12t - 6m, where t is in seconds. For the time interval t=0 to t=3 s, (a) plot the position, velocity, and acceleration as functions of time; (b) calculate the distance traveled; (c) determine the displacement of the particle. (12 points)