Particle Motion (Calculus)

Front

What indicates that a particle's speed is decreasing?

Back

When the particle's velocity and acceleration have different signs.

Front

Define velocity in the context of particle motion.

Back

Velocity is the speed of a particle in a specific direction.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the relationship between the velocity function and position?

Back

The velocity function is the first derivative of the position function.

Tags

CCSS.HSF.LE.B.5

Front

What does v(t) < 0 signify about a particle's motion?

Back

It means the particle is moving to the left.

Tags

CCSS.HSF.LE.B.5

Front

How is speed determined in particle motion?

Back

Speed is determined by the absolute value of velocity, |v(t)|.

Front

What is acceleration in terms of velocity?

Back

Acceleration is the rate of change of velocity with respect to time.

Front

How can you determine if a particle is speeding up?

Back

A particle is speeding up if its velocity and acceleration have the same sign.

Front

What does a positive acceleration indicate about a particle moving to the left?

Back

It indicates that the particle is slowing down.

Front

What is the formula for average velocity over an interval [a, b]?

Back

Average velocity is given by (s(b) - s(a)) / (b - a), where s(t) is the position function.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does the second derivative of position represent?

Back

The second derivative of position represents acceleration.