INSTRUCTIONS.1. Your answers must be handwritten on a bond paper2. 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 functionas shown.v = {50,100 - 5t,0 ≤ t < 10 s10 s < t < 30 sThe initial position of the particle is located at s = -540 m. Determine the following:a) acceleration of the particle at t = 20sc) position of the particle at t = 5s, 10s and 20sd) total distance travelled by the particle for the time interval 0 < t < 30 sPROBLEM 2. A particle is moving along a straight line and has an acceleration ofa 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 ofpositive 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 constantacceleration of 125 km/h². How much time will it take for the car to reach 20 km? What is the finalvelocity?PROBLEM 4. During a test, a rocket travels upward at 246 ft/s, and when it is 130 ft from theground its engine fails. Determine the maximum height reached by the rocket and its velocity justbefore it hits the ground. While in motion the rocket is subjected to a constant downwardacceleration 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 thesame instant, ball B is thrown vertically upward from the top of a 30 m-high building with an initialvelocity 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. Thevelocity 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/s²at t = 5s, s = -290mat t= 10s, s = 210 mat t = 20s, s=490 mST = 1250 m2.) v = 0 m/st = 2s, 3s3.) t = 0.5657 hv=70.7107 km/h4.) Smax = 1069.6894 ftv = 262.4652 ft/s5.) t= 0.9843 hh= -201424893.9 ft6.) Smax 157.2266 ft7.) Anya's time = 3.6840 sBecky's time = 4.4723 sAnya will win the race

Name: INSTRUCTIONS.1. Your answers must be handwritten on a bond paper2. Re
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Description: INSTRUCTIONS.1. Your answers must be handwritten on a bond paper2. 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 i

Given, The velocity of the particle as a function of time is given by…

Answered: a) acceleration of the particle at t =…

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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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

Topic Video

Question

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

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