Vectors
Both scalars and vectors include this quantity.
What is magnitude?
The standard unit to measure length.
If I am moving at constant velocity, this is my acceleration.
What is 0 m/s2?
In relativity, this quantity is treated as another dimension of space.
What is time?
This formula describes the sine of an angle.
What is sinθ = opposite / hypotenuse?
If I am given the x and y components of a vector, I use this operation to find its magnitude.
What is the Pythagorean theorem?
The formula for displacement when travelling at a constant velocity.
What is d = vt?
If a car is moving at a constant speed in a circle, this is the direction of the car's acceleration.
What is "towards the center of the circle"?
This universal constant is the same for all observers, no matter their relative speed.
What is the speed of light (c)?
If a car gets 27 miles per gallon, this is the number of Liters it takes for the car to go 100 kilometers.
What is 8.9 (ish) Liters?
This is the result of r + s if r = [3, 7, 0] and s = [1, 0, -2]
What is [4, 7, -2]?
If I have traveled 40 meters in 4 seconds, this was my average velocity.
What is 10 meters per second?
If I am moving with a constant acceleration, this is the formula that describes my position.
What is r = r0 + v0t + 1/2 a t2 ?
Alice will be younger.
This force holds objects on a surface and keeps them from falling through other objects.
What is the Normal Force?
This multiplication of two vectors results in a scalar.
What is the dot product?
The relationship of acceleration to velocity.
What is the change (slope, derivative) of velocity?
If a stone is thrown at a 60 degree angle upwards at 6 m/s, this is the final x-velocity when the stone hits the ground.
What is 3 m/s?
This formula describes the spacetime interval.
What is ds2= -(cdt)2 + dx2?
The base units of a Newton.
What is a kg m / s2?
This is the magnitude of the resulting vector when computing the cross product of two vectors r x s.
What is |r||s|sinθ?
When we did our numerical integration assignment, this is the reason why our final estimated time wasn't exactly the same as the calculated time.
What is "The velocity was not measured continuously" ? Also will accept, "Time intervals were not small enough."
A stone is thrown upwards at 1.5 m/s. These are three rough plots of the position, velocity, and acceleration over time (roughly draw the plots for me).
What is [insert drawn graphs]?
This is how we describe two events in spacetime that are impossible to exist on each other's world line. Hint: the spacetime interval will be positive.
I am given a mass M (in units of kg), a length h (in units of meters), a velocity v (in units of m/s), and an acceleration g (in units of m/s2). This expression, using only the given variables, has units of energy (kg m2/s2).
What is Mgh or Mv2?