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a) acceleration of the particle at t = 20s c) position of the particle at t = 5s, 10s and 20s d) total distance travelled by the particle for the time interval 0 < t < 30 s

a) acceleration of the particle at t = 20s c) position of the particle at t = 5s, 10s and 20s d) total distance travelled by the particle for the time interval 0 < t < 30 s

Inquiry into Physics
Inquiry into Physics
8th Edition
ISBN:9781337515863
Author:Ostdiek
Publisher:Ostdiek
Chapter11: Nuclear Physics
Section: Chapter Questions
Problem 15Q
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INSTRUCTIONS. 1. Your answers must be handwritten on a bond paper 2. Read and analyze the problems carefully. Be mindful of what is required in each problem. 3. Write your solutions legibly and completely. Prevent erasure as much as possible. 4. There is no need to write the whole problem on the worksheet. Follow the format: Given, Required, Solution. Provide diagrams if needed. 6. Do not round off any values except for the final answers. 7. Final answers must be rounded off into 4 decimal places. 8. Box the final answers. PROBLEM 1. The velocity of a particle moving in a straight line is given by the piece-wise function as shown. v = { 50, 100 - 5t, 0 ≤ t < 10 s 10 s < t < 30 s The initial position of the particle is located at s = -540 m. Determine the following: a) acceleration of the particle at t = 20s c) position of the particle at t = 5s, 10s and 20s d) total distance travelled by the particle for the time interval 0 < t < 30 s PROBLEM 2. A particle is moving along a straight line and has an acceleration of a 3t² 15t + 18 m/s². Given the condition, v = 13.5 m/s when t = 3s, find the velocity of the particle when t = 0. Calculate the values of t for which the acceleration is zero. (Hint: there are two (2) values of positive t). Bonus: Prove that the direction of the motion changes before t = 1s.
Transcribed Image Text:INSTRUCTIONS. 1. Your answers must be handwritten on a bond paper 2. Read and analyze the problems carefully. Be mindful of what is required in each problem. 3. Write your solutions legibly and completely. Prevent erasure as much as possible. 4. There is no need to write the whole problem on the worksheet. Follow the format: Given, Required, Solution. Provide diagrams if needed. 6. Do not round off any values except for the final answers. 7. Final answers must be rounded off into 4 decimal places. 8. Box the final answers. PROBLEM 1. The velocity of a particle moving in a straight line is given by the piece-wise function as shown. v = { 50, 100 - 5t, 0 ≤ t < 10 s 10 s < t < 30 s The initial position of the particle is located at s = -540 m. Determine the following: a) acceleration of the particle at t = 20s c) position of the particle at t = 5s, 10s and 20s d) total distance travelled by the particle for the time interval 0 < t < 30 s PROBLEM 2. A particle is moving along a straight line and has an acceleration of a 3t² 15t + 18 m/s². Given the condition, v = 13.5 m/s when t = 3s, find the velocity of the particle when t = 0. Calculate the values of t for which the acceleration is zero. (Hint: there are two (2) values of positive t). Bonus: Prove that the direction of the motion changes before t = 1s.
PROBLEM 3. A car that is traveling in a straight path, starts from rest and travels at a constant acceleration of 125 km/h². How much time will it take for the car to reach 20 km? What is the final velocity? PROBLEM 4. During a test, a rocket travels upward at 246 ft/s, and when it is 130 ft from the ground its engine fails. Determine the maximum height reached by the rocket and its velocity just before it hits the ground. While in motion the rocket is subjected to a constant downward acceleration of 32.2 ft/s² due to gravity. Neglect the effect of air resistance. PROBLEM 5. Ball A is thrown upward from the ground with an initial velocity of 120 ft/h. At the same instant, ball B is thrown vertically upward from the top of a 30 m-high building with an initial velocity of 20 ft/h. Determine the height from the ground and the time at which they pass. PROBLEM 6. A particle was thrown from the ground and was subjected to constant acceleration. The total hang-time or the time it takes for the particle to return to the ground is t = 6.25 s. Determine the maximum height reached by the particle. Use g = 32.2 ft/s². PROBLEM 7. Anya and Becky are making a bet on who can reach a distance of 100 m first. The velocity of Anya and Becky are given by the equation v = 6t² m/s and v = t³ m/s, respectively. Determine who will win the race. ANSWER KEY: (Just provide the Given, Equation and Solution to each problem. Thank you! 1.) a = -5 m/s² at t = 5s, s = -290m at t= 10s, s = 210 m at t = 20s, s=490 m ST = 1250 m 2.) v = 0 m/s t = 2s, 3s 3.) t = 0.5657 h v=70.7107 km/h 4.) Smax = 1069.6894 ft v = 262.4652 ft/s 5.) t= 0.9843 h h= -201424893.9 ft 6.) Smax 157.2266 ft 7.) Anya's time = 3.6840 s Becky's time = 4.4723 s Anya will win the race
Transcribed Image Text:PROBLEM 3. A car that is traveling in a straight path, starts from rest and travels at a constant acceleration of 125 km/h². How much time will it take for the car to reach 20 km? What is the final velocity? PROBLEM 4. During a test, a rocket travels upward at 246 ft/s, and when it is 130 ft from the ground its engine fails. Determine the maximum height reached by the rocket and its velocity just before it hits the ground. While in motion the rocket is subjected to a constant downward acceleration of 32.2 ft/s² due to gravity. Neglect the effect of air resistance. PROBLEM 5. Ball A is thrown upward from the ground with an initial velocity of 120 ft/h. At the same instant, ball B is thrown vertically upward from the top of a 30 m-high building with an initial velocity of 20 ft/h. Determine the height from the ground and the time at which they pass. PROBLEM 6. A particle was thrown from the ground and was subjected to constant acceleration. The total hang-time or the time it takes for the particle to return to the ground is t = 6.25 s. Determine the maximum height reached by the particle. Use g = 32.2 ft/s². PROBLEM 7. Anya and Becky are making a bet on who can reach a distance of 100 m first. The velocity of Anya and Becky are given by the equation v = 6t² m/s and v = t³ m/s, respectively. Determine who will win the race. ANSWER KEY: (Just provide the Given, Equation and Solution to each problem. Thank you! 1.) a = -5 m/s² at t = 5s, s = -290m at t= 10s, s = 210 m at t = 20s, s=490 m ST = 1250 m 2.) v = 0 m/s t = 2s, 3s 3.) t = 0.5657 h v=70.7107 km/h 4.) Smax = 1069.6894 ft v = 262.4652 ft/s 5.) t= 0.9843 h h= -201424893.9 ft 6.) Smax 157.2266 ft 7.) Anya's time = 3.6840 s Becky's time = 4.4723 s Anya will win the race
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