Unit 3: Kinematics & Free Fall

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Presentation transcript:

Unit 3: Kinematics & Free Fall Sprayberry Physics

Physics Comp Book UNIT 3: Kinematics & Free-Fall Student will: compare algebraically the relationships between time, distance, velocity and acceleration; compare and contrast scalar and vector quantities. Page Contents 17 kinematics, free fall 18 gravity, gravitational acceleration, 19 air resistance 19 kinematics formulas—x and y directions 20 Ex: solving a kinematics problem 20 Lab SUMUP: * How tall is the stadium?

Frayer for kinematics kinematics kinematics: All the ways to describe motion in a mathematical way: describes the motion of objects without consideration of the causes leading to the motion time = displacement = velocity-initial = velocity-final = acceleration = kinematics kinematics: motion math Example Problem:

Kinematic Equations Copy these into your comp book at the bottom of p. 19

Kinematic Equations - Ex #1 A car traveling with an initial velocity of 6 m/s, accelerates at 2 m/s2, for 6 seconds. What is the car’s final velocity? LIST (3) Equation (2) LABEL w/units (4) Solve Are we working in the x or y direction?

Kinematic Equations - Ex #2 A car traveling with an initial velocity of 6 m/s, accelerates at 2 m/s2, for 6 meters. What is the car’s final velocity? LIST (3) Equation (2) LABEL w/units (4) Solve

Kinematic Equations - Ex #3 A car traveling with an initial velocity of 6 m/s, accelerates at 2 m/s2, for 6 sec. How far does the car travel? LIST (3) Equation (2) LABEL w/units (4) Solve

Galileo Galilei 1564 - 1642 Galileo formulated the laws that govern the motion of objects in free fall Also looked at: Inclined planes Relative motion Thermometers Pendulum

Free Fall All objects moving under the influence of gravity only are said to be in free fall Free fall does not depend on the object’s original motion All objects falling near the earth’s surface fall with a constant acceleration The acceleration is called the acceleration due to gravity, and indicated by g

Acceleration due to Gravity Symbolized by g g = 9.81 m/s2 g is always directed downward toward the center of the earth Ignoring air resistance and assuming g doesn’t vary with altitude over short vertical distances, free fall is constantly accelerated motion

Free Fall – an object dropped Initial velocity is zero Let up be positive Use the kinematic equations Generally use y instead of x since vertical Acceleration is g = -9.81 m/s2 vi= 0 a = g

Free Fall – an object thrown downward a = g = -9.81 m/s2 Initial velocity ≠ 0 With upward being positive, initial velocity will be negative vi 0 a = g

Free Fall - example If a rock is dropped from a building, and it takes 18 seconds to reach the ground, how tall is the building? LIST (3) Equation (2) LABEL w/units (4) Solve