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#### 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: ##### NON-LINEAR MOTIOIN
• Velocity-Time Graph:
• Area under graph = Change in displacement • Uniform acceleration and straight line motion equations:
• v = u + at
• s = ut + 1/2at2          s = vt – 1/2at2
• s = 1/2(u + v)t           v2 = u2 + 2as
###### 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 t2
• s = ut + 1/2at2         and u = 0
• s = 1/2at2           h = 1/2at2
• Gradient = h/t2 = 1/2g
• Acceleration = 2 × g
###### Motion of Bodies Free Falling ###### 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 ∝ x2)  ###### Motion of a Skydiver Minimum 4 characters