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Published byDevin Maull Modified about 1 year ago

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All Right Let’s Start Gonna need to know the speed formula: Speed = distance (d) / time (t) 50 meters / 25 seconds = 2 m/s Got to know average speed: Total distance over total time: 50m + 25 m divided by 25 s + 15s + 35 s = 75 m / 75 s = 1 m/s

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Then: Velocity vs. Speed Scalars vs. Vectors Displacement at a 90 degree angle (a^ +b^)= c^ Distance vs displacement

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Acceleration ALWAYS LIST THE GIVENS!!!!!!!!!!!!! Formulas: Vf- Vi / time Ex: A car accelerates from 20 m/s to 25 m/s in 2.5 s. What is it’s rate of acceleration? 25 m/s – 20 m/s / 2.5 s = 2 m/s ^ Remember** Acceleration can be negative

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Like so: A car slows from 30 m/s to 15 m/s in 5 s. What is the rate of acceleration? GIVEN: Vf = 15 m/s Vi = 30m/s t = 5 s They want to know rate of acceleration (a) Vf (15m/s) – Vi (30m/s) / 5 s = - 3m/s^ Got it?

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Now a little trickier

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Displacement when already moving

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Now for Velocity A car with an initial velocity of 4 m/s accelerates uniformly at the rate of 5 m/s^. What is the final velocity after 5 s? We want to know velocity Velocity with constant a is: Vf= Vi + (a) (t) Vf= 4 m/s + (5m/s^) ( 5s) = 29 m/s

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Now Final Velocity given d

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Now on to FREE FALL

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Solve

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We use the velocity equation

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How about Time?

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And it looks like this:

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Now for Horizontally launched projectiles

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So

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How about distance?

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WOOOOOOW!!! That’s a lot! Now for them gosh durn angles!!!!!!! Remember: Solve x and Y separately!!!!! We will use Cos and Sin buttons

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1 st Problem

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Jaynes throws a ball with a velocity of 10 m/s at an angle of 30 degrees above the horizontal. How far will the ball go? 8.83 m Picture X Problem (COS) Y Problem (SIN) Trig

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Breanna tosses a Frisbee at 4 m/s at 40 degrees below the horizontal off of the top of a cliff. If the coin lands 4 meters from the cliff, how tall is the cliff? 4m/s Picture X ProblemY Problem Trig 4 m/s

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Caleb fires a gun at 300 m/s. What is its maximum range? (What’s the farthest that it can shoot?) Picture X ProblemY Problem Trig 9181m

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Also There will be some vocabulary.

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Now to practice 1. A car driven by Amanda accelerates from rest to 20 m/s in 4 s. What is the rate of acceleration? 5 m/s^ 2. A car driven by Mykayla slows from 40 m/s to 20 m/s in 5 s. What is the rate of acceleration? -4 m/s^

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More 3.A car driven by Josh jumping a red light accelerates uniformly from rest to 25 m/s in 5 s. How far did it go in this time? 87.5 m 4. A car driven by Ryann accelerates uniformly accelerates from 20 m/s at a rate of 5m/s^. Find the displacement after 5 s. 162.5m

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And more 5. A car driven by Timothy with an initial velocity of 10 m/s accelerates uniformly at 3 m/s^. What is the velocity after 6 s? 28m/s 6. A car driven by Jesse accelerates uniformly from rest at a rate of 5 m/s^. What is the velocity after 70m? 26.46 m/s

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Keep going 7. A ball is dropped by Ian for 7 s. How far did the ball travel? 137.2 m 8. A ball dropped by Elizabeth falls from rest 4 m to the floor. A. How fast was it going when it hit the floor? B. How long did it take to hit the floor? A.- 8.85 m/s B.90 s

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And going 9. A ball is thrown from a cliff by Media with a height of 20 m at a velocity of 5 m/s. How long before it hits the ground? 2.02 s 10. How far from the edge did the ball land? 10.1m

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ANGLES OH NO!!!!!!!!! Hunter throws Savannah at a velocity of 20 m/s at an angle of 25 degrees to the horizon. How far will she go? 31.1 m Juan fires a rifle at 50 m/s. What is the farthest the bullet will go? 254.5 m

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