#### Kinematics - Linear and Non-Linear Motion, Projectiles

**LINEAR MOTIOIN**

**Distance**is the total length moved irrespective of direction.**Displacement**is the distance in a certain direction.**Speed**is the distance traveled per unit time irrespective of direction.**Velocity**is the rate of change of displacement.**Acceleration**is the rate of change of velocity.**Displacement-Time Graph**:- Gradient = Velocity

- Gradient = Velocity

**NON-LINEAR MOTIOIN**

**Velocity-Time Graph**:- Gradient = Acceleration
- Area under graph = Change in displacement

- Uniform acceleration and straight line motion equations:
- v = u + at
- s = ut +
^{1}/_{2}at^{2}s = vt –^{1}/_{2}at^{2} - s =
^{1}/_{2}(u + v)t v^{2}= u^{2}+ 2as

__Determining Acceleration of Free Fall__

__Determining Acceleration of Free Fall__

- A steel ball is held on an electromagnet.
- When the electromagnet is switched off, the ball interrupts a beam of light and a timer is started.
- As the ball falls, it interrupts a second beam of light and the timer is stopped.
- The vertical distance h is plotted against t
^{2} - s = ut +
^{1}/_{2}at^{2}and u = 0 - s =
^{1}/_{2}at^{2}h =^{1}/_{2}at^{2} - Gradient =
^{h}/_{t2}=^{1}/_{2}g - Acceleration = 2 × g

__Motion of Bodies Free Falling__

__Motion of Bodies Free Falling__

__Projectile Motion__

__Projectile Motion__

- A projectile motion has a uniform velocity in one direction and a constant acceleration in the perpendicular direction.

- Horizontal motion = Constant velocity (speed at which the projectile is thrown)
- Vertical motion = Constant acceleration (Caused by the weight of the object, and constant free fall acceleration)
- Curved path – parabolic (y ∝ x
^{2})

__Motion of a Skydiver__

__Motion of a Skydiver__