Motion with Constant Acceleration

Uniformly Accelerated Motion

• Uniformly Accelerated Motion refers to the motion of an object with constant acceleration.

Projectile Motion

• A projectile has its maximum range when fired at an angle of 45°.
• The path of a projectile follows a parabolic curve.

Momentum

• Momentum is directly proportional to an object's mass and velocity.
• A large, fast-moving object has greater momentum than a smaller, slower object.
• Momentum can be calculated by multiplying an object's mass and velocity.

Impulse and Collisions

• Impulse refers to a fast-acting force or impact.
• The SI unit of impulse is kg m/s.
• A rebound refers to a special type of collision involving a direction change in addition to a speed change.

Energy

• The Law of Conservation of Energy states that energy cannot be created or destroyed, only converted from one form to another.
• Kinetic energy is the energy of motion, directly proportional to the square of an object's speed.
• Potential energy increases with height, so the higher an object is from the ground, the greater its potential energy.

Motion

• Speed is a scalar quantity, defined as the rate of change of distance.
• Velocity is a vector quantity, defined as the rate of change of displacement.
• Acceleration is the rate of change of velocity.

Problems and Examples

• If an object's velocity is doubled, its momentum is quadrupled.
• If a 30.00 kg mass falls from a height of 4.00 m, its momentum just before it hits the ground is 265.63 kg m/s.
• The total momentum of two objects moving in opposite directions is the sum of their individual momenta.

Other

• Convection is the main process of heat transfer in an air-conditioning unit.
• In headphones, electrical energy is converted into sound energy.
• The angle of elevation of an object's velocity with the horizontal is 45° when its horizontal and vertical components are equal in magnitude.