What is the effect of gravity on an object in free fall?

It causes the object to accelerate downwards at approximately 9.8m/s29.8 m/s^2.

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What is the effect of gravity on an object in free fall?

It causes the object to accelerate downwards at approximately 9.8m/s29.8 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.

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 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 VoV_o and VfV_f?

VoV_o: initial velocity. VfV_f: final velocity.

Compare and contrast the equations for horizontal and vertical motion in projectile motion.

Horizontal motion: Δx=Vxt\Delta x = V_xt. Vertical motion: y=Voyt+12gt2y = V_{oy}t + \frac{1}{2} gt^2, Vfy=Voy+gtV_{fy} = V_{oy} + gt, Vfy2=Voy2+2gyV_{fy}^2 = V_{oy}^2 + 2gy.

What is the difference between displacement and distance?

Displacement: change in position. Distance: total length traveled.