Particle Motion

Front

What is the formula for speed in terms of velocity?

Back

Speed is the absolute value of velocity, represented as |v(t)|.

Front

What does v(t) > 0 indicate about the motion of a particle?

Back

The particle is moving to the right.

Front

What does v(t) < 0 indicate about the motion of a particle?

Back

The particle is moving to the left.

Front

What is acceleration in relation to velocity?

Back

Acceleration is the derivative of velocity, represented as a(t) = v'(t).

Front

How do you find the speed of an object at a specific time?

Back

Evaluate the absolute value of the velocity function at that time, |v(t)|.

Front

What does it mean if the acceleration of a particle is zero?

Back

The particle is either at rest or moving at a constant speed.

Front

What is the relationship between distance and displacement?

Back

Distance is the total path length traveled, while displacement is the straight-line distance from the starting point to the endpoint.

Front

How can you determine if a particle is at rest?

Back

A particle is at rest if its velocity v(t) = 0.

Front

What does a negative acceleration indicate about a particle's motion?

Back

A negative acceleration indicates that the particle is slowing down if moving to the right or speeding up if moving to the left.

Front

What is the significance of the graph of velocity over time?

Back

The graph shows how the velocity of a particle changes, indicating periods of acceleration, deceleration, and constant speed.