Independent Practice A ball is throw vertically overhead and returns to its starting position after 3.6 seconds. (a) With what initial velocity was the.

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Presentation transcript:

Independent Practice A ball is throw vertically overhead and returns to its starting position after 3.6 seconds. (a) With what initial velocity was the ball thrown? (b) What is the maximum height reached by the ball?

Thought Experiment There is an interesting monkey at the zoo. The zookeeper feeds the monkey by shooting bananas from a banana cannon to the monkey in the tree. This particular monkey has a habit of dropping from the tree the moment that the banana leaves the muzzle of the cannon. If the monkey lets go of the tree the moment that the banana is fired, will it catch the banana? Describe what you believe will happen and why.

Two Dimensional Motion KEY IDEA: Horizontal motion and Vertical motion are INDEPENDENT of each other. “Cliff” problems: Vertical Motion: a y = m/s 2 (Free – Fall) Horizontal Motion: a x = 0 m/s 2

Kinematics Equations

VerticalHorizontal Timea y (m/s 2 )v y (m/s)y (m)a x (m/s 2 )v x (m/s)x (m) 0 s s s s s

Representing Quantities Vectors: Remember: Any quantity with magnitude and direction (Displacement, Velocity, Acceleration) Represented by an ARROW, that is proportional in size and direction. V = 5 m/s East V = 2 m/s North

Actual Velocity At t = 2s: V x = + 20 m/s V y = m/s

Resultant Vectors VxVx VyVy V

Problem Solving 1.Draw a picture and include labels! 2.List variables in “x” and “y” directions SEPERATELY!