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Solving Uniform Acceleration Problems. Deriving the Uniform Acceleration Equations. Let’s start from a Velocity Time Graph. Strategy: . Write out all given data Account for direction Select a formula based on what information is present or missing Plug and Chug
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Deriving the Uniform Acceleration Equations • Let’s start from a Velocity Time Graph
Strategy: • Write out all given data • Account for direction • Select a formula based on what information is present or missing • Plug and Chug • Write the answer with a proper direction
Ex 1: A truck is stopped at a light. It then accelerates uniformly at 3.45 m/s2 [E] for 5.0 s. What is the truck’s displacement from its initial position? • Ans: d=43m[E]
Ex 2: A jogger has an initial velocity of 1.2 m/s [N]. She accelerates at 0.75 m/s2 [N]. How long will it take for the jogger to reach a final velocity of 3.4 m/s [N]? • Ans: Δt= 2.9s
Ex 3: A duck swoops down to land on a pond with an initial velocity of 22 m/s [S]. It slows down with an acceleration of -3.7 m/s2 [S]. What is the duck’s displacement after 3.0 s? • Ans: d=49m[S]