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PRESENTED BY DANIEL LIN Mock Examination !!! 8. Flying Objects
Visualize – In Soviet Russia, guns shoot bullets. v(x), the speed of the bullet as a function of its position in the wall. L, the path length of the bullet within the wall. L
Visualize – Initial Conditions Moment of Entry Speed at Entry Moment of Exit Speed at Exit
Calculations Acceleration function: Separable! Use the initial conditions to find k! MAGIC !
Calculations Two initial conditions: And …
Calculations We now have the velocity function with respect to time… NOT GOOD ENOUGH! We need
More calculations… With every questions that you think you know the answer to. Ken wants you to learn modesty.
More calculations… Ken’s “Hint” Re-Write the original acceleration function: Separable & Solve
Almost done We already know When position x(0) = 0, the velocity is Solve for c MAGIC !
And v(x) is… Plug in the constant: Now we need to find L (The distance traveled during that 0.01 seconds.) We know the bullet exits the wall at
Conclusion Wouldn’t you like to know? That pakalolo plant ready for harvest?
Derivation of Kinematic Equations Where do the equations come from?
Lecture PowerPoints Chapter 3 Physics: Principles with Applications, 6 th edition Giancoli.
Movement Aim: How can we distinguish between speed, velocity and acceleration?
Warm Up A particle moves vertically(in inches)along the x-axis according to the position equation x(t) = t 4 – 18t 2 + 7t – 4, where t represents seconds.
Linear Acceleration 12 th grade Physics Class What are we doing?
Kinematics in 2-D. Review - What is Kinematics??? Describes the motion of objects Uses a set of equations Draws a relationship between time, distance,
Explaining motion P4 Questions/Answers. Question 1 What is the name used to describe a pair of forces?
6.3 Vectors in the plane Day 1 Objectives: - define vectors - identify component form of a vector - calculate the magnitude of a vector Warm Up Find the.
Section 4.1 – Vectors (in component form) Vector – directed distance.
Kinematics: What is velocity and acceleration? Lets Review v = d t Distance traveled (m) Time taken (sec) Average Velocity (m/sec) Instantaneous Velocity:
PHYSIC S. Think back to GCSE 1.Write down the definition of velocity Speed in a given direction 2.Write down the calculation for velocity But that is.
3.8 Direct, Inverse and Joint Variation. Direct Variation y = kx n, n>0 k is the constant of variation The relationship between braking distance and car.
Chapter 2 Describing Motion: Kinematics in One Dimension.
Preview Objectives One Dimensional Motion Displacement Average Velocity Velocity and Speed Interpreting Velocity Graphically Chapter 2 Section 1 Displacement.
Vectors 5: The Vector Equation of a Plane Department of Mathematics University of Leicester.
Calculations from Motion Graphs Distance-time graphs The gradient of a distance-time graph is the speed We should already know how to calculate gradients:
© 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching their.
Using Formulas. Steps for Solving Formula Problems 1.Choose the correct formula (if it not given to you in the problem) 2.Identify what to substitute.
Warm up 1.Graph the equation of the line using slope & y-intercept 4x – 2y = 10.
Special Shortcuts for and Triangles.
Creating a quiz with hyperlink answers This type of quiz can be used as a tutorial to develop high order thinking skills.
Motion in One Dimension. Scalar and Vector Quantities Vector- a physical quantity that requires the specification of both magnitude and direction. Scalar-
The Basics of Physics with Calculus – Part II AP Physics C.
The four kinematic equations which describe an object's motion are: There are a variety of symbols used in the above equations and each symbol has a specific.
Do Now 1.Susie earns 1/4 of a dollar for every 1/2 mile she runs in the race. How many miles does she need to run to earn a dollar? 2.Henry completes 1/6.
Parallel Lines. We have seen that parallel lines have the same slope.
Precalculus 2 Section 10.6 Parametric Equations. Parametric Equations Write parametric equations. Graph parametric equations. Determine an equivalent.
Aim: How can we apply what we know derivatives to physical concepts? By: Nihir Shah.
Section 2.3 – Product and Quotient Rules and Higher- Order Derivatives.
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