Definitions
This scalar is the measurement of the length traveled along a path
What is distance?
Use this equation when you:
You want to find the time it takes for a couch to fall when dropped out a window.
You are given the height of the window
What is the second equation?
The vertical acceleration of an object in freefall
What is -9.8 m/s2
A police officer living on a planet with no air resistance drops a pair of handcuffs and a handkerchief from the same height at the same time. This one will hit the ground first
What is, hey! They will hit the ground at the same time?
You find velocity by taking the derivative of this
What is displacement?
This vector is the rate in change in displacement
What is velocity?
Use this equation when you:
Want to find the distance a car can drive in a set amount of time
You are given: The time, initial velocity, and acceleration
What is the second equation?
The horizontal acceleration of an object in free fall
What is 0 m/s2
A driver brings a car to a full stop in 2.0 s. If the car was initially traveling at 22 m/s, what is the acceleration?
What is -11 m/s2
the position of a particle is given by the function x(t) = 3x3 + 2x2 + 1x
This is the function for the velocity of the function
What is v(t) = 9x2 + 4x + 1 ?
This is the state of motion in which the only force acting on an object is gravity
What is free fall?
Use this equation when you:
Want to find the distance a car travels
You are given: The final and initial velocity, the acceleration
What is the 3rd equation?
This is ignored during free fall and projectile problems
What is air resistance?
A student drops a pebble from the edge of a vertical cliff. The pebble hits the ground 4s after it was dropped. This is the height of the cliff.
What is 78.4 m?
the position of a particle is given by the function x(t) = 3x3 + 2x2 + 1x
This is the function for the acceleration of the particle
What is a(t) = 18x + 4 ?
An example of this type of projectile is Drew Walker kicking a punt and it being caught at the same height he kicked it from
What is a full projectile?
Use this equation when you:
Want to find the horizontal distance an object thrown horizontally travels.
You're given: The initial velocity, the time
What is x=v*t
Unless otherwise given, this is your initial position
What is 0?
Mr. Gonzales gets tired of students using their surface pro in class and punts the surface pro at an angle of 60 degrees above the ground with a total velocity of 10 m/s. This is the horizontal velocity of the surface pro when it hits the ground.
What is 5 m/s?
This explains why our kinematic equations would not apply to a particle for which the position is given by the function x(t) = 3x3 + 2x2 + 1x
What is the acceleration is not constant?
This is the is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.
What is physics?
Use this equation when you:
Want to find the vertical component of velocity for an object thrown at some speed (v) at some angle (θ )
What is v*sin(θ)?
The change in horizontal velocity of a projectile while it is in the air
What is 0 m/s?
A Ball is thrown up at a wall with a velocity of 30m/s at an angle of 45 degrees above the horizontal. It hits the wall at the peak of it's arc. This is its overall velocity at the instant before impact
What is 21.21 m/s?
NOT ON THE TEST - If the derivative of position is velocity and the derivative of velocity is acceleration, this calculus function is what could you use to determine the velocity from the acceleration
What is an integral? (Half points for reverse derivative)