Observations What just happen? How did it happen? Why did it happen?

Observations Inductive vs. Deductive Reasoning  Inductive Reasoning specific observations and measurements lead to general pattern.. For example: Premise: A bee stung me. It is a hymenopteran. (General) Premise: A wasp stung me. It is a hymenopteran. (General) Premise: A fire ant stung me. It is a hymenopteran. (General) Do you see a pattern ? (something stung me) Conclusion: All hymenopterans have stingers. (Specific)  Deductive Reasoning general idea leads to more specific ideas. For example: Premise: All apples are fruits (General) Premise: A granny smith is an apple (Specific) Conclusion: Therefore a granny smith is a fruit

Observations

Observations

Observations

Observations

Observations What caused the motorcycle to jump? The engine (force) Once the motorcycle leaves the ramp what is causing it to still move? Its own inertia Describe the path of the motorcycle Parabola

Projectile motion problems are best solved by treating horizontal and vertical motion separately. IMPORTANT Gravity only affects vertical motion. There are two general types of projectile motion situations. 1. o oo object launched horizontally 2. o oo object launched at an angle

Objects Launched Horizontally v i = initial horizontal velocity d x = horizontal distance (range) d y = vertical distance(height) t = total time in the air IMPORTANT FACTS There is no horizontal acceleration. There is no initial vertical velocity. The horizontal velocity is constant. Time is the same for both vertical and horizontal. Equation Δd = v i.... t + ½.... a.... t 2

Object Launched at an Angle v i = initial velocity  = launch angle t = total time in air d x = horizontal distance IMPORTANT FACTS The horizontal velocity is constant. It rises and falls in equal time intervals. It reaches maximum height in half the total time. Gravity only effects the vertical motion. horizontal vx = vi cos vertical vy = vi sin

Practice Problem 1 A toy car rolls off the edge of a table and travels 0.30 m along the floor before landing. If the car had an initial velocity of 2.40 m/s, what is the height of the table?

Practice Problem 2: A bomber flying 2000 m above the ground traveling at 55 m/s wants to hit a target, how many seconds before the bomber is directly above the target should the bomb be released? What is the horizontal range of the bomb in problem 1?

Problem Practice 3: A bullet is fired horizontally from a height of 3.0 m. If the bullet lands 2100 m from the rifle, what was the initial velocity of the bullet?

Practice Problem 4: A car drives off of a 37 m cliff with a horizontal velocity of 21 m/s. How long does it take the car to land at the bottom of the cliff? How far from the base of the cliff does the car land?

True or False: The time it takes a horizontal projectile to hit the floor is dependent on the initial horizontal velocity.

True or False: The time it takes a projectile to hit the floor depends on the height.

Group work Materials  Bouncy balls  Plastic spoon  Cell phone with slow motion capabilities Directions 1. Hold the ball as highs as possible and drop it. 1. What are you observations