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Particle Motion and Functions

Particle Motion and Functions

Assessment

Interactive Video

Mathematics, Physics

9th - 12th Grade

Practice Problem

Hard

Created by

Amelia Wright

FREE Resource

The video tutorial explains how to derive the velocity and acceleration functions from a given position function of a particle. It covers the process of differentiation to find these functions and analyzes the intervals where the particle is slowing down or speeding up based on the signs of velocity and acceleration.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the position function of a particle used to determine?

The mass of the particle

The speed of the particle

The color of the particle

The location of the particle over time

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the velocity function related to the position function?

It is unrelated to the position function

It is the derivative of the position function

It is the integral of the position function

It is the square of the position function

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the acceleration function derived from?

The velocity function

The position function

The distance function

The speed function

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the acceleration function when the velocity function is 9t^2 - 72t + 63?

72t - 18

18t - 72

36t - 9

9t - 36

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When is the velocity of the particle zero?

When t = 5

When t = 4

When t = 1 or t = 7

When t = 0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sign of the velocity function when t is less than 1?

Undefined

Zero

Negative

Positive

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At what value of t is the acceleration function zero?

t = 1

t = 4

t = 7

t = 0

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