Linear momentum ( p ) will be maximally conserved when two particles moving towards one another with a constant velocity ( v ) along a straight line collide: p1i + p2i = p’1f + p’2f Things become somewhat more complicated when some measurable entity is maximized or minimized when it passes through some other entityContinue reading “MATHEMATICS: The Unit Circle, Sine, Cosine, and Tangent Functions”
Tag Archives: hypotenuse
AP PHYSICS: Trigonometry vs The Pythagorean Theorem
Q: A football is kicked with a velocity of 8.5 m/s at an angle of 350 with respect to the football field: At the moment of takeoff, the football has a vertical component of motion of 4.9 m/s. What is the horizontal component of motion? A: Since an angle and a diagonal vector have beenContinue reading “AP PHYSICS: Trigonometry vs The Pythagorean Theorem”
AP PHYSICS: Vector Components
When vectors are oriented away from the ( x ) and ( y ) axes, they can be evaluated using ( x ) and ( y ) components. These components can be linked together in a tip-to-tail fashion which yields the same results as the primary vector in question: It is useful to imagine theContinue reading “AP PHYSICS: Vector Components”
AP PHYSICS: The Pythagorean Theorem
Trigonometric functions establish useful relationships between the sides of a right triangle that exists within the perimeter ( circumference ) of a unit circle. We are now ready to see how the Pythagorean Theorem does this as well. In the right triangle below, the “ legs “ around the right angle are equal in length,Continue reading “AP PHYSICS: The Pythagorean Theorem”