Physics: Choose the Formula
You are asked to find velocity when you know displacement and time.
What is ( v = \frac{d}{t} ) ?
You are given a function and asked to find its instantaneous rate of change at a specific point.
What is taking the derivative?
For a function to be continuous at x = c, it must be defined, have a limit at c, and satisfy this condition.
What is that the limit equals the function value?
These colonies focused on profit from tobacco and gold, unlike their northern counterparts founded for religious purposes.
What are the Chesapeake and New England colonies?
This is found by taking the derivative of a position function.
What is velocity?
You need to find acceleration given change in velocity over time.
What is ( a = \frac{\Delta v}{t} ) ?
You are given a composite function and asked to differentiate it.
What is the Chain Rule?
This rule is used to differentiate composite functions.
What is the Chain Rule?
This 1776 pamphlet argued it was “common sense” for a continent not to be ruled by an island.
What is Common Sense by Thomas Paine?
This is the derivative of velocity or the second derivative of position.
What is acceleration?
You are finding the force acting on an object with known mass and acceleration.
What is ( F = ma ) ?
You are given a graph of a function and asked to find the total accumulation of the function over an interval.
What is a definite integral?
This theorem guarantees a point where instantaneous rate of change equals average rate of change.
What is the Mean Value Theorem?
This belief held that the United States was destined to expand westward to the Pacific Ocean.
What is Manifest Destiny?
This is found by integrating velocity over time.
What is displacement?
You need to calculate kinetic energy given mass and velocity.
What is KE = 0.5 × m × v²?
You are given a rate of change function and an initial value and asked to find the original function.
What is using an antiderivative with an initial condition?
This theorem states that the derivative of an integral returns the original function.
What is part one of the Fundamental Theorem of Calculus?
This amendment established birthright citizenship and equal protection under the law.
What is the 14th Amendment?
This is found by integrating the absolute value of velocity.
What is total distance?
You need to find the force on an object when you know its mass and acceleration.
What is F = ma?
You are given a function and asked to find the volume of a solid formed by rotating the region around an axis.
What is using an integral for volume (disk or washer method)?
This method finds the volume of a solid of revolution using squared radii.
What is the Disk Method?
FDR’s New Deal focused on these three goals: aiding the unemployed, boosting the economy, and preventing future crises.
What are Relief, Recovery, and Reform?
When velocity and acceleration have opposite signs, the object is doing this.
What is slowing down?