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Motion Problems: Analyzing Uniform Acceleration in Vehicles and Projectiles

This document contains multiple guided practice problems related to uniform acceleration, addressing different scenarios including vehicles and projectiles. Key problems include calculating final velocities, determining acceleration, and finding displacement based on given parameters. The problems utilize essential kinematic equations, providing a comprehensive approach to understanding motion in physics. Exercises also explore comparisons with the speed of sound and acceleration in firearm mechanics, making it a versatile resource for students tackling fundamental concepts in dynamics.

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Motion Problems: Analyzing Uniform Acceleration in Vehicles and Projectiles

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  1. Lab activity information • Vi = 0 m/s • T = 10 s • Find d = • Find vf =

  2. Chapter 4 Problems Guided Practice Problems

  3. Problem #1 • Find the uniform acceleration that causes a car’s velocity to change from 32m/s to change to 76 m/s. In an 8.0 s period.

  4. Problem #1 • Unknown: • a = • Given: • Vi = 32 m/s • Vf= 76 m/s • T = 8.0 s

  5. Problem #1 • Equation: • A = Δv • Δt

  6. Problem #1 • Answer: 5.5 m/s/s

  7. Problem #1 • Solution: • 76m/s-32m/s / 8 s =

  8. Problem #2 • A supersonic jet flying at 155 m/s is accelerated uniformly at the rate of 23.1 m/s2 for 30 s. • A. What is its final velocity? • B. The speed of sound in air is 331 m/s. How many times the speed of sound is the plane’s final speed?

  9. Problem #2 • Unknown: • Vf = • Given: • Time = 30 s • A = 23.1 m/s2 • Vi = 155 m/s • ______________ • Vf = • Speed of sound is 331 m/s

  10. Problem 2 • Equation: A • Vf= vi + at

  11. Problem #2 • Equation B: • N= 848 m/s/331m/s=

  12. Problem #2 • Answer to A = 848 m/s

  13. Problem #2 • Answer to B:2.56 times

  14. Problem #2 • Solutions for A: • 155m/s + (23.1 m/s/s)(30.0 s) =vf

  15. Problem #2 • Solution for B : • 848 m/s/331m/s =

  16. Problem #3 • Determine the displacement of a plane that is uniformly accelerated from 66 m/s to 88 m/s in 14 s.

  17. Problem #3 • Unknown: d • Given: 66 m/s = Vi • 88 m/s = Vf • T = 14 s

  18. Problem #3 • Equation • D=(vf + vi)t/2 =

  19. Problem #3 • Answer #3: 550 m

  20. Problem #3 • Solution #3 : • (88 m/s + 66 m/s)14 s/2 =

  21. Problem #4 • If a bullet leaves the muzzle of a gun with a speed of 500 m/s, and the barrel of the rifle is .9 m long. What is the acceleration of the bullet while in the barrel?

  22. Problem #4 • Unknown: • A = • Given: • Vf = 500 m/s • D = .9 m • Vi = 0 m/s

  23. Problem #4 • Equation: • a = Vf2 – vi2 /2d

  24. Problem #4 • Answer :1.38 X 105 m/s/s

  25. Problem #4 • Solution: • (500 m/s)2-0 /(2) (0.9 m) =

  26. Problem #5 • A plane travels 600 m while being accelerated uniformly from rest at the rate of 5.0 m/s2. What final velocity does it attain?

  27. Problem #5 • Unknown: • Vf = • Given: d = 600 m • a= 5.0 m/s2 • Vi = 0 m/s

  28. Problem #5 • Equation: • Vf2 =vi2 + 2ad

  29. Problem #5 • Answer: 77.5 m/s

  30. Problem #5 • Solution: • Sq root 0 +2(5.0 m/s/s)(600 m) =

  31. Assignment • Page 82: 1,5, • Page 83 : 8,9,10, 16 • Page 84: 24, • Reviewing concepts: 1,2,3,8, • Applying concepts: 3, 8, 9 • Due thursday

  32. Equations of Motion for Uniform acceleration • Vivf a t • Vi d vf t • Vi d a t • Vfd vi a • Vf = vi + at • d = ½ (vf + Vi)t • d = vit + ½ at2 • Vf2 = vi2 + 2ad

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