Direction Of Projectile
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Expressions Of Pj Problems
Direction Of Projectile

The path of a projectile is represented as follows:
y = 4x - x2
(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:
S7P4A41 (Motion - Linear).
The math:
Pj 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 of 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.

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