Unit 2 - Equations of Motion

	Δx	V	VO	a	t
Δx = V0t + ½at²	Need		Yes	Yes	Yes
Δx = t * (V+V0) / 2	Need	Yes	Yes		Yes
Δx = (V²-V0²) / 2a	Need	Yes	Yes	Yes
V = VO + at		Need	Yes	Yes	Yes
V² = V0² + 2aΔx	Yes	Need	Yes	Yes
a = (V - VO) / t		Yes	Yes	Need	Yes
a = (2 * (Δx - (VO * t))/t²	Yes		Yes	Need	Yes
t = (V - VO) / a		Yes	Yes	Yes	Need
t² = 2*(Δx - V0t)/a	Yes		Yes	Yes	Need

Definitions:

• x    = distance
• V0 = Initial velocity
• a    = acceleration
• g = gravity; which is a special case of acceleration. Note: the precise strength of Earth's gravity varies depending on location.
• 10 meters/second²
• 10 is a rounded value
• 9.80665 is the value shown on Wikipedia - Standard Gravity
• 32 feet/second²
• 32 is a rounded value
• 32.1737 is the value shown on Wikipedia - Gravity of Earth
• t     = time (in seconds)

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Δx = (V²-V0²) / 2a

Is Torricelli's equation whose derivation is shown on Wikipedia - Torricelli's Equation