Kinematics Where? When How fast? Free fall Projectile Motion.

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Presentation transcript:

Kinematics Where? When How fast? Free fall Projectile Motion

The equations of kinematics Constant speed x = v t Constant acceleration v = v 0 + a t starting from rest x = ½ a t 2

Free fall: a special case All objects, independent of mass, and ignoring air resistance fall towards the center of the earth with an acceleration “g” g = 9.8 m/s 2 = 32 ft/s 2 How fast is this? Human vs. Gravity

Free fall, dropping from rest Special case of general kinematics for objects starting from rest v = a × t becomes v = g × t = gt x = ½ × a × t 2 becomes y = ½ × g × t 2 = ½gt 2 Now lots of examples

What if you throw something up? Back to the original definition of acceleration as a change in speed Can “reason” your way to maximum height Can get rather tricky rather fast, unless you want to do lots of algebra. 

Projectile Motion Combination of vertical motion and horizontal motion. Horizontal motion is constant speed. Why? Inertia! Is that an answer? Vertical Motion is constant acceleration. Why? Free fall! Is that an answer?

Some examples Standard example from every textbook. A slightly trickier one... A much trickier, but quite amusing, one... And it’s ALL Free Fall!

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