If v represents the velocity of an object at time t then s = \displaystyle \int v \, dt will represent its position.

## Software/Applets used on this page

## Glossary

### union

The union of two sets A and B is the set containing all the elements of A and B.

### velocity

the rate of change of displacement. It is a vector quantity with magnitude and direction.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

Scottish Advanced Highers | M1 | Kinematics | Use of calculus | - |

AP Calculus AB (USA) | 4 | Kinematics | Use of calculus | - |

AP Calculus BC (USA) | 4 | Kinematics | Use of calculus | - |

AQA A-Level (UK - Pre-2017) | M2 | Kinematics | Use of calculus | - |

CCEA A-Level (NI) | M1 | Kinematics | Use of calculus | - |

CIE A-Level (UK) | M1 | Kinematics | Use of calculus | - |

Edexcel A-Level (UK - Pre-2017) | M2 | Kinematics | Use of calculus | - |

I.B. Higher Level | 6 | Kinematics | Use of calculus | - |

I.B. Standard Level | 6 | Kinematics | Use of calculus | - |

Methods (UK) | M9 | Kinematics | Use of calculus | - |

OCR A-Level (UK - Pre-2017) | M1 | Kinematics | Use of calculus | - |

OCR-MEI A-Level (UK - Pre-2017) | M1 | Kinematics | Use of calculus | - |

Pre-U A-Level (UK) | Mech | Kinematics | Use of calculus | - |

WJEC A-Level (Wales) | M2 | Kinematics | Use of calculus | - |

Scottish (Highers + Advanced) | AM1 | Kinematics | Use of calculus | - |

Universal (all site questions) | K | Kinematics | Use of calculus | - |

Edexcel AS/A2 Maths 2017 | Mechanics | Variable Acceleration Motion | Using Calculus | - |

Edexcel AS Further Maths 2017 | Further Mechanics 2 | Kinematics | Using Calculus | - |

Edexcel AS Maths 2017 | Mechanics | Variable Acceleration Motion | Using Calculus | - |

AQA AS Maths 2017 | Mechanics | Kinematics and Units | Using Calculus | - |

OCR AS Maths 2017 | Mechanics | Working with Motion | Using Calculus | - |

OCR MEI AS Maths 2017 | Mechanics | Working with Motion | Using Calculus | - |

AQA A2 Further Maths 2017 | Mechanics | Extra | Motion Calculus | - |

OCR A2 Further Maths 2017 | Mechanics | Further Dynamics and Kinematics | Using Calculus | - |

OCR MEI A2 Further Maths 2017 | Mechanics B | Vectors and Variable Forces | Using Calculus | - |

Edexcel AS/A2 Further Maths 2017 | Further Mechanics 2 | Kinematics | Using Calculus | - |

AQA AS/A2 Maths 2017 | Mechanics | Kinematics and Units | Using Calculus | - |

AQA AS/A2 Further Maths 2017 | Mechanics | Extra | Motion Calculus | - |