What is the effect of gravity on an object near Earth's surface?

It causes a constant downward acceleration of approximately 10 m/mathrms210 \mathrm{~m} / mathrm{s}^{2}.

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What is the effect of gravity on an object near Earth's surface?

It causes a constant downward acceleration of approximately 10 m/mathrms210 \mathrm{~m} / mathrm{s}^{2}.

What is the effect of a constant positive acceleration on an object's velocity?

The object's velocity increases linearly with time in the positive direction.

What is the effect of a constant negative acceleration on an object's velocity?

The object's velocity decreases linearly with time, or increases in the negative direction.

What is the effect of a non-zero slope on a position vs. time graph?

It indicates that the object has a non-zero velocity.

What is the effect of a non-zero area under a velocity vs. time graph?

It indicates that the object has a non-zero displacement.

Define instantaneous velocity.

The rate of change of position with respect to time at a specific instant; mathematically, vx=dxdtv_{x}=\frac{d x}{d t}.

Define instantaneous acceleration.

The rate of change of velocity with respect to time at a specific instant; mathematically, ax=dvxdta_{x}=\frac{d v_{x}}{d t}.

What is displacement?

The change in position of an object. On a velocity vs. time graph, it's the area under the curve: Δx=t1t2vx(t)dt\Delta x=\int_{t_{1}}^{t_{2}} v_{x}(t) d t.

Define gravitational acceleration (g).

The constant downward acceleration experienced by objects near Earth's surface due to gravity, approximately g10 m/mathrms2g \approx 10 \mathrm{~m} / mathrm{s}^{2}.

What are kinematic equations?

Equations that describe the motion of objects with constant acceleration, relating position, velocity, time, and acceleration.

What are the differences between displacement and distance?

Displacement: Change in position, can be negative. Distance: Total path length, always positive.

What are the differences between velocity and speed?

Velocity: Rate of change of displacement, vector quantity. Speed: Rate of change of distance, scalar quantity.

How do constant acceleration and non-uniform acceleration differ in problem-solving?

Constant Acceleration: Kinematic equations can be used directly. Non-uniform Acceleration: Kinematic equations cannot be directly applied; requires calculus or graphical analysis.

Compare and contrast position vs. time and velocity vs. time graphs.

Position vs. Time: Slope is velocity. Velocity vs. Time: Slope is acceleration, area under the curve is displacement.

Compare the effect of gravity on objects of different masses.

Gravity: Acceleration due to gravity is constant (approximately 10 m/s²) and does not depend on the object's mass.