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Fundamentals of acceleration

This document contains a series of homework and review questions focused on the fundamentals of acceleration. It includes practical problems such as calculating time taken to stop a bicycle with negative acceleration, determining the acceleration of vehicles from given speeds, analyzing the motion of falling objects, and determining average acceleration in various scenarios. Each question aims to reinforce understanding of basic physics concepts related to acceleration, velocity, and motion. Ideal for students seeking to deepen their grasp of these principles.

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Fundamentals of acceleration

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  1. Fundamentals of acceleration Homework and Review Questions

  2. Q1 If a bicycle has an average acceleration of -0.44 m/s2, and its initial forward velocity is 8.2 m/s, how long will it take the cyclist to bring the bicycle to a complete stop?

  3. Q2 What is the acceleration of Billy’s MPV, if it started at 0.50 m/s and accelerated up to 3.25 m/s in 2.5 second?

  4. Q3 A school bus can accelerate from a complete stop at 1.3 m/s2. How long will it take the bus to reach a velocity of 12.1 m/s?

  5. Q4 A rocket moving at 15 m/s, accelerates for 5.2 seconds at a rate of 3.1 m/s2. Find the final velocity

  6. Q5 While driving at an average velocity of 15.6 m/s down the road, a driver slams on brakes to avoid hitting a squirrel. The car stops completely in 4.2 seconds. What is the acceleration of the car?

  7. Q6 On a dark and scary night, Mr. Baker was walking down the street at 5.234 m/s. He heard a horrible sound of hundreds of shuffling feet behind him and increased his speed to a new 78.985 m/s. What was the amount of time (in minutes) needed to increase his speed, if his rate of acceleration was 1.9 m/s2 ?

  8. Q7 A sports car is advertised as being able to go from 0 to 60 in 6.00 seconds. If 60 mph is equal to 27 m/s, what is the sports car’s average acceleration?

  9. Question 7 An object is thrown upwards from a bridge at 15.9 m/s. How fast is it going after 90 seconds?

  10. Q8 If a bicycle has an average acceleration of -0.44 m/s2, and its initial forward velocity is 8.2m/s, how long will it take the cyclist to bring the bicycle to a complete stop?

  11. Q9 An airliner has a cruising velocity of 132 m/s. What is the plane’s average acceleration if it takes the plane 15 minutes to reach its cruising velocity from when it was at rest on the runway?

  12. Example A piece of the golden gate bridge comes loose and falls towards the water. Assuming no air resistance, where and how fast will the object be traveling in 4.5 seconds?

  13. Question #3 A coin falls from rest from the balcony of a building. If it takes 2.7 s for it to hit the ground, what is the final velocity of the coin?

  14. Problem # 2 A penny dropped from the top of Empire State Building, falls at 9.8 m/s2, if you ignore air resistance. If it started from rest, how long would it take for the penny to be traveling 50 m/s?

  15. A ball that rolls off a desk and falls to the ground. At what point is the ball in free-fall? Explain why

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