Motion 03 - Motion Equations (P)

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For all situations, assume
- acceleration is constant
- object does not turn around
- ‘north’ and ‘east’ are positive directions and drawn to the right.

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On a sheet of paper, complete the following for each situation below:

a. Motion Description
b. Sketch
c. Motion Diagram
d. Position vs time graph
e. Velocity vs time graph
f. Acceleration vs time graph
g. Classification of motion variables
h. Algebraic solution

1. A cubic rooster began with an initial velocity -𝑣₁ and, while moving away from the origin, accelerated at -𝑎 and obtained a displacement -𝑑. What was the final velocity of the rooster?

2. A cubic sheep, while moving away from the origin, accelerated at +𝑎 for a time 𝑡. It acquired a final velocity +𝑣₂. Determine the displacement of the sheep.

3. Starting with an initial velocity +𝑣₁, a cubic pig, while slowing down towards the origin, attained a displacement +𝑑 over a time 𝑡. What was the acceleration of the pig?

4. A cubic turkey began with an initial velocity -𝑣₁ and, while slowing down towards the origin, obtained a displacement -𝑑 over a time 𝑡. Determine the acceleration of the turkey.

5. A cubic horse, while passing the origin, accelerated at -𝑎 and obtained a displacement -𝑑 over a time 𝑡. What was the initial velocity of the horse?

6. A 154 kg cubic dog began with an initial velocity -𝑣₁ and while slowing down and passing the origin, attained a displacement -𝑑 over a time 𝑡. Determine the final velocity of the dog.

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