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Apologia Physics M4

Motion in Two Dimensions

QuestionAnswer
We approach two-dimensional problems by looking for the _________-___________________ part of the problems. one-dimensional
When a projectile is fired at an angle relative to the ground, its motion is called _________________, meaning it follows the curved path of a parabola. parabolic
Once a cannonball leaves the cannon, the only things acting on it is gravity.
Gravity only acts in the ___- dimension. y
Gravity does NOT affect the ____-component of velocity. x
The x-component of the velocity vector stays ______________ the same LENGTH & points in ______________ the same DIRECTION for the entirety of the flight of the object. exactly; exactly
In the middle of a projectile's trip, gravity has reduced the Y-COMPONENT of the velocity to ___________, zero
When the velocity is point in the same direction as gravity's pull, the y-component of the velocity ________________ , making the object fall even faster. increases
Parabolic motion is motion that occurs when an object moves in 2 dimensions but has 0 acceleration in one of those dimensions & a constant, non-zero acceleration in the other.
When a projectile reaches its ________________ height, the y-component is zero. maximum
A projectile will land with the exact _________________ velocity to what it started with. opposite
The speed of a projectile is the __________ when it lands as it was when it launched. same
The projectile reaches it maximum height at the ________________ of its journey. midpoint
The range equation from this module ONLY applies when the ______________________________ is at the SAME level as the origin point of the projectile. target/end point
We are calculating the range of a projectile when we determine the distance that it travels in the x-dimension.
initial speed = Vo
To determine the y-component of a projectile, we use Voy=Vo*sin(O) O=angle
If we know the initial velocity in the y-dimension, we can calculate the time it takes for the projectile to reach its maximum height.
g= gravity
range = {original velocity squared * sin (2*angle)] / gravity (Equation 4.9)
Equation 4.9 ONLY applies to projectiles that land at the same height from which they are launched.
Conventionally speaking, a positive sign means upward motion.
Conventionally speaking, a negative sign means downward motion.
When starting and ending height are different, we may have to solve for the y-dimension and then use the information to solve for the x-dimension (or vice versa).
Created by: MrsHough
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