The Quadratic Formula from Kinematics In this problem we show how the kinematic equations...

The Quadratic Formula from Kinematics In this problem we show how the kinematic equations of motion can be used to derive the quadratic formula. First, consider an object with an initial position x0, an initial velocity υ0, and an acceleration a. To find the time when this object reaches the position x = 0 we can use the quadratic formula, or apply the following two-step procedure: (a) Use Equation 2–12 to show’ that the velocity of the object when it reaches x = 0 is given by (b) Use Equation 2–7 to show that the time corresponding to the velocity found in part (a) is (c) To complete our derivation, show that the result of part (b) is the same as applying the quadratic formula to