Velocity and Acceleration A brick becomes dislodged from the top of a building (at a height of 1,290 feet) and falls to the sidewalk below. (Let the position function for a free-falling object be -162 + vot + ho•) (a) Write the position, velocity, and acceleration functions of the brick. s(t) = v(t) = a(t) = (b) How long does it take the brick to hit the sidewalk? (Round your answer to two decimal places.) (c) How fast is the brick traveling when it hits the sidewalk? (Round your answer to one decimal place.) ft/sec

Velocity and Acceleration A brick becomes dislodged from the top of a building (at a height of 1,290 feet) and falls to the sidewalk below. (Let the position function for a free-falling object be -162 + vot + ho•) (a) Write the position, velocity, and acceleration functions of the brick. s(t) = v(t) = a(t) = (b) How long does it take the brick to hit the sidewalk? (Round your answer to two decimal places.) (c) How fast is the brick traveling when it hits the sidewalk? (Round your answer to one decimal place.) ft/sec

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 37P: A bolt drops from the ceiling of a moving train car that is accelerating northward at a rate of 2.50...

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KEY TERMS 1. physics (intro) 2. position (2.1) 3. motion 4. scalar (2.2) 5. vector 6. average speed 7. distance 8. instantaneous speed 9. average velocity 10. displacement 11. instantaneous velocity 12. acceleration (2.3) 13. average acceleration 14. acceleration due to gravity 15. free fall 16. terminal velocity 17. centripetal acceleration (2.4) 18. projectile motion (2.5) For each of the following items, fill in the number of the appropriate Key Term from the preceding list. b. _____ Difference between final and initial velocities divided by time
A bolt drops from the ceiling of a moving train car that is accelerating northward at a rate of 2.50 m/s2, (a) What is the acceleration of the bolt relative to the train car? (b) What is the acceleration of the bolt relative to the Earth? (c) Describe the trajectory of the bolt as seen by an observer fixed on the Earth.
KEY TERMS 1. physics (intro) 2. position (2.1) 3. motion 4. scalar (2.2) 5. vector 6. average speed 7. distance 8. instantaneous speed 9. average velocity 10. displacement 11. instantaneous velocity 12. acceleration (2.3) 13. average acceleration 14. acceleration due to gravity 15. free fall 16. terminal velocity 17. centripetal acceleration (2.4) 18. projectile motion (2.5) For each of the following items, fill in the number of the appropriate Key Term from the preceding list. r. _____ Displacement/travel time
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35. Velocity and Acceleration A ball is propelled straight upward from ground level with an initial velocity of 144 feet per second. (a) Write the position, velocity, and acceleration functions of the ball. (b) Find the height, velocity, and acceleration at t = 3. (c) When is the ball at its highest point? How high is this point? I (d) How fast is the ball traveling when it hits the ground? How is this speed related to the initial velocity?
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