33. (a) a (t) = a + Jt; v_(t) = v + a_+*; x(1) = x, + v + ļa t² + &ji°

Extracted text: 33. (a) a (t) = a + Jt; v_(t) = v + a_+*; x(1) = x, + v + ļa t² + &ji°


Extracted text: 33. Automotive engineers refer to the time rate of change of accel- S eration as the “jerk." Assume an object moves in one dimen- sion such that its jerk Jis constant. (a) Determine expressions for its acceleration a,(1), velocity v,(), and position x(), given that its initial acceleration, velocity, and position are a, v and x, respectively. (b) Show that a² = a? + 2(v, - v).