Direction Of A projectile

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{4}A_{41} Base Sequence = 12735 String Sequence = 12735 - 4 - 41 **

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Direction Of A Projectile

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The path of a projectile is represented as follows:

y = 4x - x^{2}

(a) What is the direction of the projectile when x = 1?

(b) At what value of x is the direction of the projectile horizontal?

**The string**:

S_{7}P_{4}A_{41} (Motion - Linear).
**The math**:

P_{j} Problem of Interest (PPI) is of type *motion*. Problems of distance traveled or direction of travel are *motion problems*.

(a) dy/dx = 4 - 2x

At x = 1, dy/dx = 2

The direction projectile when x = 1 is the direction of a tangent with slope 2.

Direction of projectile is horizontal when dy/dx = 0

dy/dx = 0 when x = 2

So, direction of projectile is horizontal when x = 2.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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