Unit 8 Review

Front

What is the definition of velocity in physics?

Back

Velocity is the rate of change of an object's position with respect to time, including direction.

Front

What does it mean for a particle to be speeding up?

Back

A particle is speeding up when its velocity is increasing over time, which occurs when both velocity and acceleration have the same sign.

Front

What is the formula for the average value of a function f(x) on the interval [a, b]?

Back

Front

What is the relationship between acceleration and velocity?

Back

Acceleration is the derivative of velocity with respect to time, indicating how velocity changes over time.

Front

What is the formula for the area of a solid of revolution using the disk method?

Back

Front

What is the significance of the y-axis in a graph of a function?

Back

The y-axis represents the output values of the function for given input values on the x-axis.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph over its domain.

Front

What is the integral of a function used for in calculus?

Back

The integral of a function is used to find the area under the curve of the function, representing accumulated quantities.

Front

What is the formula for the position of a particle given its acceleration?

Back

To find the position of a particle, integrate the acceleration function twice with respect to time, adding initial conditions.

Front

What is the difference between definite and indefinite integrals?

Back

A definite integral computes the area under a curve between two limits, while an indefinite integral represents a family of functions without limits.