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Using the Equations of Motion

Using the Equations of Motion. Step One: What each term means. Distance, s, is how FAR you are from your starting position. Step One: What each term means. Distance, s, is how FAR you are from your starting position. START. Step One: What each term means.

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Using the Equations of Motion

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  1. Using the Equations of Motion

  2. Step One: What each term means • Distance, s, is how FAR you are from your starting position.

  3. Step One: What each term means • Distance, s, is how FAR you are from your starting position. START

  4. Step One: What each term means • Distance, s, is how FAR you are from your starting position. START s = 10 m

  5. Step One: What each term means • Distance, s, is how FAR you are from your starting position. • No matter HOW you got there… START s = -5 m

  6. Step One: What each term means • Velocity is how FAST you are going

  7. Step One: What each term means • Velocity is how FAST you are going v = 10 m/s

  8. Step One: What each term means • Velocity is how FAST you are going • It can be negative v = -15 m/s

  9. Step One: What each term means • Velocity is how FAST you are going • It can be negative • It is simply distance traveled divided by the time. s t vave =

  10. Step One: What each term means • Acceleration is how quickly the velocity changes.

  11. Step One: What each term means • Acceleration is how quickly the velocity changes. • Positive a means you are speeding up

  12. Step One: What each term means • Acceleration is how quickly the velocity changes. • Positive a means you are speeding up • Negative a means you are slowing down

  13. Step One: What each term means • Acceleration is how quickly the velocity changes. • Positive a means you are speeding up • Negative a means you are slowing down • It is change in velocity divided by the time.

  14. Step One: What each term means • Acceleration is how quickly the velocity changes. • Positive a means you are speeding up • Negative a means you are slowing down • It is change in velocity divided by the time. Δv t a =

  15. Step One: What each term means • Acceleration is how quickly the velocity changes. • Positive a means you are speeding up • Negative a means you are slowing down • It is change in velocity divided by the time. Δv t v - u t a = =

  16. Step One: What each term means • Acceleration means the final velocity is NOT the same as the initial velocity.

  17. Step One: What each term means • Acceleration means the final velocity is NOT the same as the initial velocity. • We use initial velocity = u

  18. Step One: What each term means • Acceleration means the final velocity is NOT the same as the initial velocity. • We use initial velocity = u • We use final velocity = v

  19. Step One: What each term means • Acceleration means the final velocity is NOT the same as the initial velocity. • We use initial velocity = u • We use final velocity = v • If v > u then we are speeding up (a is positive)

  20. Step One: What each term means • Acceleration means the final velocity is NOT the same as the initial velocity. • We use initial velocity = u • We use final velocity = v • If v > u then we are speeding up (a is positive) • If v < u then we are slowing down (a is negative)

  21. Equation One: v = u + at • A train accelerates from rest at 3 m/s2. How fast is it going after 30 seconds? • My Nissan Frontier goes from 0 to 60mph in 9.2 seconds, What is the acceleration? • A car traveling at 30 m/s decelerates at 7 m/s2. How long is it before it comes to rest? • An ice puck slows due to friction at 1.7 m/s2. I hit the puck at one end of the rink, and when it hits the goal, 12 seconds later, it is going at 19 m/s. At what speed did I hit the puck initially?

  22. Equation Two: s = ut + ½at2 • A train accelerates from rest at 3 m/s2. How far has it gone after 30 seconds? • From a rolling start at 20 mph, Jewel Alderson can cover the 400 meter Trader Joes parking lot in 11 s, What is the acceleration of her Hyundai? • An ice puck on asphalt slows due to friction at 6.7 m/s2. It travels 100 meters in 7 seconds. At what speed did I hit the puck initially?

  23. Equation Three: v2 = u2 + 2as • A train accelerates from rest at 3 m/s2. How fast is it going when it hits the car on the track, 500 meters down the line from the station? • Traveling at 60 mph I see an old person walk into the road 300 meters ahead. Feeling in a good mood, I decide to break, and the car slows at a rate of 6.5 m/s2. What is the fate of the pensioner? • After joining the freeway I can accelerate from 40 mph to 90 mph in 11 seconds. How far do I travel along the freeway before I get to 90?

  24. Motion Under Gravity • I drop an egg from the bridge in Balboa Park and it hits a car windscreen 5 seconds later. How high is the bridge? • I throw a pool ball straight up into the air and it hits the ground 3.5 seconds later. How fast did I throw the ball? • I launch a tennis ball at 45o at a velocity of 40 m/s. How far away does it hit the ground? • A golfer hits a ball and 3 seconds later gets a hole in one If the hole was 250 meters away, what was the highest point in the ball’s trajectory?

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