A-Level Maths OCR B (MEI) H640

Be able to model motion under gravity in a vertical plane using vectors.

Be able to formulate the equations of motion of a projectile using vectors.

Standard modelling assumptions for projectile motion are as follows.

• No air resistance.
• The projectile is a particle.
• Horizontal distance travelled is small enough to assume that gravity is always in the same direction.
• Vertical distance travelled is small enough to assume that gravity is constant.

Excludes: Calculations involving air resistance.

Know how to find the position and velocity at any time of a projectile and find range and maximum height.

Be able to find the initial velocity of a projectile given sufficient information.

Be able to eliminate time from the component equations that give the horizontal and vertical displacement in terms of time to obtain the equation of the trajectory.

Be able to solve simple problems involving projectiles.

Excludes: Maximum range on inclined plane. Bounding parabola.