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Solving Uniform Acceleration Problems

Learn how to find displacement and final velocity in uniformly accelerated motion problems. Practice using equations and given variables to solve for unknowns.

robertfrye
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Solving Uniform Acceleration Problems

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  1. Solving Uniform Acceleration Problems displacement (m, km) initial velocity (m/s, km/h) final velocity (m/s, km/h) acceleration (m/s2, km/h2) t time (s, h)

  2. Equations for Uniformly Accelerated Motion variable not involved - d variable not involved - variable not involved - a variable not involved - t variable not involved -

  3. each kinematics problem will involve four of these variables • three are provided as given variables and the fourth variable represents the unknown value • you may need to rearrange the equation to solve for the unknown variable • it is important to note that the equations are for objects undergoing constant acceleration

  4. How far can an object travel in 3.0 s., accelerating at 1.0 m/s2 [forward], if its initial velocity is 5.0 m/s [forward]? [forward] = +ve t = 3.0 s = 1.0 m/s2 = 5.0 m/s = ? = t + = (5)(3) + (0.5)(1)(3)2 = 19.5 \the displacement was 2.0 x 101 m [forward]

  5. An aircraft starts from rest and accelerates at 1.5 m/s2 until it takes off at the end of the runway. What was the final speed at the end of the 1.8 km runway? a = 1.5 m/s2 = 0 d = 1.8 km = 1800 m = ? 2 =2+ 2ad = 0 + (2)(1.5)(1800) = 5400 = = 73.48469 \the final speed at the end of the runway is 73 m/s or 260 km/h 1.6 UC#1-5

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