Displacement & Constant Acceleration

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Presentation transcript:

Displacement & Constant Acceleration

Displacement & Constant Acceleration There are 3 different formulas we can you to determine displacement if acceleration is constant.

First Formula If velocity and time are known: It is derived from the following two equations:

Second Formula If acceleration and time are known: OR….

Third Formula If velocity and acceleration are known: This formula can be rearranged to give us:

Problem-solving Strategy 1. Read the problem carefully. Sketch if necessary 2. Identify the given quantities 3. Identify the unknown 4. Select an equation that relates the given quantities to the unknown 5. Rewrite the equation to solve for the unknown 6. Substitute values (including units) into the equation and solve

Sample Problem: An object that is initially travelling at a velocity of 7.0 m/s east accelerates uniformly to a velocity of 22.0 m/s east in a time of 1.7 s. Calculate the acceleration of the object. (8.8 m/s2 east)

Sample Problem: An object accelerates north uniformly from rest in a time of 2.70 s. In this time, it travelled 20.0 m. What was the final velocity? (14.8 m/s north)

Sample Problem: An object accelerates uniformly from rest. If the acceleration was 2.00 m/s2 west, what was the displacement when it reached a velocity of 1.00x102 km/h? (193 m west)

Homework p. 14 #1-24 (over the course of 2 days…)