Newtonian Mechanics Unit 1 Topic: Kinematics Learning Goals: - Identify the characteristics of horizontal and vertical kinematic motion (including free.

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Newtonian Mechanics Unit 1 Topic: Kinematics Learning Goals: - Identify the characteristics of horizontal and vertical kinematic motion (including free fall) - Solve 1-D constant acceleration problems (horizontal and vertical)

Constant Acceleration Kinematic scenarios are scenarios in which the acceleration the object experiences is a constant non-zero value (could be + or -) Initial/Final position and velocity, time, and acceleration are the quantities we will be dealing with Equations are derived from properties we encountered with velocity vs. time graphs

Kinematic Equations

Problem Solving Strategies x o is often 0m, as we can safely assume that an object is starting at the “origin”. However, look for clues (less common for vertical scenarios) The 3rd equation may require you to place a negative sign in front of your initial or final velocity, depending on your established coordinate system (this is a math thing)

Horizontal Practice Problems A dog is running at 2.1 m/s, it increases its velocity to 2.9 m/s in 0.78s. What is the acceleration of the dog? A car is traveling at 25 m/s. It accelerates at 1.2 m/s 2 for 3s. How far does it travel in this time? A different car starts from rest and backs out of a 10m long driveway. The acceleration of the car is m/s 2, what is the velocity at the end of the driveway?

Vertical Considerations some folks like to change the x into y in the equations (not necessary) dropped things have an initial velocity of 0 m/s the ground has a location of 0m Free Fall: when an object is only being accelerated by the force of gravity. In these cases acceleration is -10 m/s 2. It won’t be given to you, you need to recognize the scenario as free fall

Vertical Practice Problems An olympic diver steps off of a 10m tall platform. (a) What is their impact velocity as they hit the water? (b) How long does it take for them to hit the water? After hitting the water they are brought to rest 2.1m below the surface of the water, how much acceleration did they experience?