Term
What is the first kinematic formula? 

Definition


Term
What is the second kinematic formula? 

Definition
v_{f}^{2} = v_{0}^{2} + 2a(Δx) 


Term
What is the third kinematic formula? 

Definition


Term
What is the fourth kinematic formula? 

Definition
Δx = (1/2)(v_{0} + v_{f})t 


Term
When can you use the kinematic equations to solve for variables in an object's motion? 

Definition
When the acceleration is constant, you can use the kinematic equations. Otherwise, you must use the defintions of velocity and acceleration to solve for an object's motion. 


Term
What is the mathematical definition of acceleration, both in algebra and calculus? 

Definition


Term
What is the mathematical definition of velocity, both in algebra and calculus? 

Definition


Term
Using the first, second, or fourth kinematic formula, when would you say your vertical displacement (Δy) is a negative number? 

Definition
When the object ends at a lower height than where it started...in other words, when it drops or falls. 


Term
Using the first, second, or fourth kinematic formula, when would you say your vertical displacement (Δy) is a positive number? 

Definition
When the object ends at a higher height than where it started...in other words, when it is thrown up or rises. 


Term
Using the first, second, or fourth kinematic formula, when would you say your vertical displacement (Δy) is 0? 

Definition
When the object ends at the exact same height it started at. 


Term
What are three different ways to accelerate an object? 

Definition
Make the object speed up, slow down, or change its direction. 


Term
What is the definition (in words) of acceleration? 

Definition
Acceleration is defined as the rate of change of velocity. 


Term
What is the definition (in words) of velocity? 

Definition
Velocity is defined as the rate of change of displacement. 


Term
A projectile is launched upward into the air at an angle. At the top of a projectile's path, what is the vertical velocity of the projectile? 

Definition
The vertical velocity is exactly 0 at the top of the path. This is because at this one instant, it is neither rising nor falling. 


Term
A projectile is launched upward into the air at an angle. At the top of a projectile's path, what is the vertical acceleration of the projectile? 

Definition
The vertical acceleration is 9.8 m/s^{2} downward. Though the projectile is not moving up or down at that instant, it is still accelerating downward. 


Term
A projectile is launched upward into the air at an angle. At the top of a projectile's path, what is the horizontal velocity of the projectile? 

Definition
While we don't have any numbers to plug in here, we know that it has the same horizontal velocity at the top of the path as it did when it was launched.
If we did have numbers, we could say that v_{x,top} = v_{0}cos(Θ) 


Term
A projectile is launched upward into the air at an angle. At the top of a projectile's path, what is the horizontal acceleration of the projectile? 

Definition
Since we only consider the force of gravity acting on the object, a_{x} = 0 m/s^{2}.
If we considered air resistance and other external forces besides gravity, there may be a negative horizontal acceleration. Thankfully, this very rarely happens. 


Term
What is true concerning an object's vertical acceleration throughout its projectile path? 

Definition
It is always 9.8 m/s^{2}. In other words, gravity never turns off!
This is true for any projectile, regardless of whether it was thrown straight up and down, thrown at angle, or thrown from a moving object. 

