Distance is defined as ___ while displacement is defined as ___.

The length of the actual path traveled by a particle, the change in position vector of the particle.

In a straight line motion, when does distance equal displacement?

When the particle travels in a straight line without changing direction.

Instantaneous speed is defined as __________ .

The speed of a particle at a specific moment in time.

A particle has uniform speed if ___, while it has non-uniform speed if ___.

The magnitude of speed remains constant, the magnitude of speed changes.

Velocity is defined as ___, making it a ___ quantity.

The rate of change of displacement, vector

Average velocity can be calculated as ___.

The total displacement divided by the total time taken.

What type of motion occurs when a particle moves along a straight line?

One-Dimensional Motion.

When a particle moves in a parabolic path, this is an example of ___ motion.

Two-Dimensional Motion.

True or False: A particle moving with uniform acceleration is guaranteed to travel in a straight line.

False; it can travel in a curved path as well.

If a ball is dropped from a height H, the distance fallen in time t is represented by ___.

H = ½ g t², where g is the acceleration due to gravity.

Fill in the blank: The distance fallen in nth second of its motion can be calculated as ___ .

H_n = ½ g(2n - 1)

What is the relationship between distance and displacement?

Distance is always greater than or equal to the magnitude of displacement.

Define instantaneous acceleration.

Instantaneous acceleration is the acceleration of a body at a particular instant of time.

What is the formula for calculating average acceleration?

Average acceleration = (final velocity - initial velocity) / time.

True or False: The average velocity can never exceed the average speed.

True; average velocity is always less than or equal to average speed.

Relative motion can be defined as the motion of one object with respect to another. The formula for relative velocity is ___ .

V_BA = v_B - v_A

What happens to the acceleration vector when the speed of an object is constant but its direction changes?

The acceleration vector is perpendicular to the velocity vector.

The distance fallen by a body under gravity in equal time intervals is in the ratio of ___ .

1 : 3 : 5, which corresponds to the odd integers.