U4_F15 Review AP

Front

What is the rate of change of the radius of a circular puddle if the area decreases at a rate of 36π in²/hr when the radius is 5 in?

Back

The rate of change of the radius is -\frac{18}{5} \frac{in}{hr}.

Front

How do you find dy/dx at a given point?

Back

Evaluate the derivative of the function at that specific point.

Front

What does it mean when a particle moves to the right?

Back

The velocity of the particle is positive.

Front

How can you determine if a particle is speeding up?

Back

Check if acceleration and velocity are the same sign.

Front

What conditions indicate that an object changes direction at a specific time, t?

Back

v(t)=0 and velocity changes sign.

Front

What is the formula for the area of a circle?

Back

A = \pi r^2, where A is the area and r is the radius.

Front

What is the relationship between area and radius in a circular puddle?

Back

The area decreases as the radius decreases, maintaining the circular shape.

Front

What does a positive velocity indicate about a particle's motion?

Back

The particle is moving in the positive direction.

Front

What does it mean if acceleration is negative?

Back

The particle is slowing down if velocity is positive.

Front

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

Back

It indicates a potential change in direction.