Unit 4 Review

Front

What is the formula for acceleration in terms of position function?

Back

Front

How do you find the limit of a function as x approaches a certain value?

Back

To find the limit, substitute the value into the function if possible, or use algebraic manipulation or L'Hôpital's rule if the limit results in an indeterminate form.

Front

What is the significance of the derivative in motion problems?

Back

The derivative of the position function gives the velocity, and the second derivative gives the acceleration.

Front

How do you determine when a particle changes direction?

Back

A particle changes direction when its velocity changes sign, which occurs when the velocity function equals zero.

Front

What does it mean if velocity and acceleration have opposite signs?

Back

If velocity and acceleration have opposite signs, the speed of the particle is decreasing.

Front

Back

Front

Back

Front

What is the position function of a particle traveling along a horizontal axis?

Back

Front

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

Back

A negative velocity indicates that the particle is moving in the opposite direction to the defined positive direction.

Front

What is the relationship between speed and acceleration?

Back

Speed is the absolute value of velocity; if acceleration is in the same direction as velocity, speed increases; if opposite, speed decreases.