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Problem Solving Tips When working with one-dimensional motion problems with constant (uniform) acceleration, remember the four kinematic equations: . Ax = tat2 + vot . 12 = vg + 24x . Ax = ut . v = at + vo where v is the final velocity after t seconds, Ax is the total distance in meters, and a is the constant acceleration. Our reference frame will start at xo = 0 meters at time t = 0 seconds. To determine which equation is best for the information given, first list the variables in the four kinematic equations: distance, initial velocity, final velocity, acceleration, elapsed time. Identify which of the variables have given values and which variable you are asked to find. Then, identify which of the kinematic equations relate those variables. Example A kangaroo is capable of jumping to a height of 2.62 m. Determine the initial velocity of the kangaroo. Solution List the variables in the 4 kinematic equations and identify the information given: . distance: 2.62 m . initial velocity: find it . final velocity: 0 meters per second (because the kangaroo will start to fall after reaching maximum height) . acceleration: -9.81 meters per second squared . elapsed time: unknown The kinematic equation that relates distance, initial velocity, final velocity, and acceleration is v = v. + 2aAx: (0 m/s)2 = vg +2(-9.81 m/s?)(2.62 m) 0 m2 /s? = vg - 51.4 m2 /s? vo = 51.4 m2 /s? vo = V51.4 m/s = 7.17m/s Your Assignment How long does it take the kangaroo in the example to fall back to the ground after reaching 2.62 meters? Show your work either by typing your work below or uploading a picture (PDF, JPEG, JPG, or PNG only)