Particle Motion Flashcard

Front

If velocity is positive and speed is decreasing, then acceleration is ______?

Back

negative

Front

Besides v(t) = 0, what else is needed to know an object changes directions at a specific time, t?

Back

v(t)=0 and velocity changes sign

Front

What is the total distance traveled if the answer is 130?

Back

130

Front

If velocity is negative and acceleration is positive, then speed is ______________?

Back

decreasing

Front

Find the absolute extrema for f(x) = 2x^3 + 6x^2 + 4 over the interval [-4, 0].

Back

Abs max @ (2, 12), Abs min @ (-4, -28)

Front

Define acceleration in terms of velocity.

Back

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

Front

What does it mean when an object has a negative velocity?

Back

It means the object is moving in the opposite direction of the defined positive direction.

Front

Explain the relationship between velocity and speed.

Back

Velocity is a vector quantity that includes direction, while speed is a scalar quantity that only includes magnitude.

Front

What is the significance of v(t) = 0 in particle motion?

Back

It indicates that the object is momentarily at rest.

Front

What does it mean for acceleration to change sign?

Back

It indicates a change in the direction of acceleration, which can affect the object's speed.