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When working with projectile problems, the two most useful equations of motion are:
v = u + at and s = ut + \frac{1}{2}at^2 .
Remember that when the vertical component of velocity is positive, the particle is rising. At the instant this component is 0, the particle is at maximum height. When the vertical component of velocity is negative, the particle is falling.

For a projectile, the horizontal component of velocity is constant.
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This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA A-Level (UK - Pre-2017)M1KinematicsProjectiles-
AQA A2 Maths 2017MechanicsKinematicsProjectiles-
AQA AS/A2 Maths 2017MechanicsKinematicsProjectiles-
CCEA A-Level (NI)M2KinematicsProjectiles-
CIE A-Level (UK)M2KinematicsProjectiles-
Edexcel A-Level (UK - Pre-2017)M2KinematicsProjectiles-
Edexcel A2 Maths 2017MechanicsProjectilesProjectiles-
Edexcel AS/A2 Maths 2017MechanicsProjectilesProjectiles-
OCR A-Level (UK - Pre-2017)M2KinematicsProjectiles-
OCR A2 Maths 2017MechanicsMotion in Two DimensionsProjectiles-
OCR MEI A2 Maths 2017MechanicsProjectilesProjectiles-
OCR-MEI A-Level (UK - Pre-2017)M1KinematicsProjectiles-
Pre-U A-Level (UK)MechKinematicsProjectiles-
Universal (all site questions)KKinematicsProjectiles-
WJEC A-Level (Wales)M2KinematicsProjectiles-