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# Projectile motion

### When you kick, throw, shoot or launch an object, once its off and moving, the path of the resulting motion is a parabola.

GIF InclinedThrow, by AllenMcC, Wikipedia, CC BY-SA 3.0

## Simplifying assumptions

### For objects that are projected to a great altitude, the gravity that they experience will become less and less as the object gets higher.  But our analysis assumes that the acceleration of gravity is constant.  So in cases where the accel of gravity differs we have to modify our analysis. And get this – we literally can’t do this with most traditional math – we cant use algebra. In order to do this kind of mathematical analysis we need to use calculus!

Projectile Motion, College Physics, Open Stax

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## Practical Problem solving

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Also

Giancoli Physics, Chapter 3

## Equations used in projectile motion

### (Honors and AP Physics)

Giancoli Physics, Chap 3

## Learning Standards

Massachusetts Science Curriculum Framework 2016

1. Motion and Forces: Central Concept: Newton’s laws of motion and gravitation describe and predict the motion of most objects.
1.1 Compare and contrast vector quantities (e.g., displacement, velocity, acceleration force, linear momentum) and scalar quantities (e.g., distance, speed, energy, mass, work).

Common Core Standards for Mathematics – Grades 9-12
Standards for Mathematical Practice:

• Reason abstractly and quantitatively
• Model with mathematics
• Look for and express regularity in repeated reasoning
Number and Quantity – Vector and Matrix Quantities
• N-VM.1     Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments and use appropriate symbols for vectors and their magnitudes.
• N-VM.2     Find the components of a vector.