Introduction to Mechanics. 1. In Physics, the study of motion is known as Mechanics. This is divided into Kinematics, the study of HOW things move, and Dynamics, which is concerned with WHY they move. 2. Galileo (15641642) was the first to study motion and developed Kinematics. He performed his experiments Pisa, Italy, frequently dropping objects from the Leaning Tower and/or rolling spheres along level surfaces and down ramps. Isaac Newton (16421727), a theoretical physicist, formulated Dynamics by deriving his 3 Laws of Motion and the Law of Universal Gravitation. We will study his work in depth later. 3. Galileo's study of motion produced four motion formulas: (I) Δs = v_{avg}·Δt , with Δs = s  s_{0} , and v_{avg}= (u + v)/2 , (II) v = u + a·Δt , (III) v^{2} = u^{2} + 2a·(Δs) , and (IV) s  s_{0} = u·t + ½a·(Δt)^{2} . 4. Instantaneous velocity can be computed by finding the slope of a tangent line at any point on the graph of displacement as a function of time, or v = Δs/Δt. 5. Instantaneous acceleration can be computed by finding the slope of a tangent line at any point on the graph of velocity as a function of time, or a = Δv/Δt. 6. Velocity and acceleration can also be evaluated using a much longer method involving limits, or shorter using calculus. 7. Keep in mind that we are still concerned with vectors. Displacement, velocity, and acceleration are all directed quantities. In the previous chapter we were also working with another vector, force. 8. Displacement, velocity, and acceleration can all be demonstrated graphically. For example, straight lines on a positiontime graph indicate constant velocity, determined by the slope. 9. The area under a velocitytime graph is displacement while the slope of the graph indicates acceleration. The area under an accelerationtime graph is the velocity. 10. The acceleration due to gravity is 9.80 m/s^{2} for Earth at sea level. The negative direction is downward. 11. This is known as freefall acceleration and is the same for all objects regardless of mass near the surface of the Earth. 12. To solve a motion problem in Physics use these steps: (i) read the problem and identify the given variables (ii) determine what you are asked to solve for (iii) find the correct motion formula to use (iv) use algebra to isolate the unknown (v) substitutein the given information and simplify. End of Introduction to Mechanics. Click HERE to continue. For Sample Problem Set #1 on Mechanics. Click HERE. For Sample Problem Set #2 on Mechanics. Click HERE. For an Email Link to submit your work to Dr. Persin. Click HERE.

