What is the difference between horizontal and vertical motion in projectile motion?
Horizontal motion: constant speed (no acceleration). Vertical motion: affected by gravity (constant downward acceleration).
Compare linear and non-linear functions.
Linear function: a straight line, represented by y = mx + b. Non-linear function: anything that isn't a straight line; often approximated with a tangent line.
What is the difference between $V_o$ and $V_f$?
$V_o$: initial velocity. $V_f$: final velocity.
Compare and contrast the equations for horizontal and vertical motion in projectile motion.
Horizontal motion: $\Delta x = V_xt$. Vertical motion: $y = V_{oy}t + \frac{1}{2} gt^2$, $V_{fy} = V_{oy} + gt$, $V_{fy}^2 = V_{oy}^2 + 2gy$.
What is the difference between displacement and distance?
Displacement: change in position. Distance: total length traveled.
What is linearization?
Linearization is a technique to turn curved graphs into straight lines by manipulating the x-axis.
How do you determine velocity from a position vs. time graph?
Find the slope of the position-time graph.
How do you determine acceleration from a velocity vs. time graph?
Find the slope of the velocity-time graph.
How do you determine displacement from a velocity vs. time graph?
Find the area under the velocity-time curve.
How do you determine the change in velocity from an acceleration vs. time graph?
Find the area under the acceleration-time curve.
What is the effect of gravity on an object in free fall?
It causes the object to accelerate downwards at approximately $9.8 m/s^2$.
What is the effect of applying a force at the center of mass of an object?
It causes linear acceleration without rotation.
What happens to the vertical velocity of a projectile at its maximum height?
The vertical velocity becomes zero.
What is the effect of increasing the angle of launch on the range of a projectile (assuming the same initial speed)?
The range increases until an angle of 45 degrees, then decreases.
What happens to the horizontal velocity of a projectile during its flight (ignoring air resistance)?
The horizontal velocity remains constant.
