Position, Velocity, and Acceleration Quiz

What is the notation commonly used for a position function in calculus?

• a(t)

• v(t)

• s(t)

• p(t)

How do you find the position of an object at a specific time using the position function?

• By finding the slope of the tangent line

• By plugging in the specific time into the position function

• By integrating the position function

• By taking the derivative of the position function

What is the average velocity over a period of time?

• The slope of the tangent line

• The slope of the secant line

• The derivative of the velocity function

• The integral of the acceleration function

How is instantaneous velocity at a particular time determined?

• By integrating the velocity function

• By taking the derivative of the position function

• By calculating the average velocity

• By finding the slope of the secant line

What is the relationship between speed and velocity?

• Speed is the derivative of velocity

• Speed is the square of velocity

• Speed is the integral of velocity

• Speed is the absolute value of velocity

How is acceleration related to the velocity function?

• Acceleration is the derivative of the velocity function

• Acceleration is the square of the velocity function

• Acceleration is the integral of the velocity function

• Acceleration is the inverse of the velocity function

In the example problem, what is the initial height of the object?

• 16 feet

• 64 feet

• 0 feet

• 32 feet

How long is the object in the air before it hits the ground?

• 1 second

• 2 seconds

• 4 seconds

• 3 seconds

What is the velocity of the object when it hits the ground?

• 64 feet per second

• 32 feet per second

• -32 feet per second

• -64 feet per second

What is the acceleration of the object due to gravity?

• -32 feet per second squared

• 16 feet per second squared

• -16 feet per second squared

• 32 feet per second squared