7:42 PM Oalll all a 95problems on mech..Q1. A truck driving on a paved road is capable of decelerating at a constant value of 5 m/s.(a) If the truck is initially travelling at 27.4 m/s, how long does it take to come to a complete stop?(b) How far does the truck travel in this time?(cC) Sketch a graph of distance vs. time and speed vs. time, when the brakes are applied.Q2.The position of an object moving along the x-axis is given by x = -2 + 2? + 3t - 5, where x is inmeters, and t is in seconds.(a) Find the position of the object at t = 2.0 s, and t = 3.5 s.(b) What is the displacement of the object between t= 2.0 s, and t = 3.5 s?(c) What is the average velocity of the object between t- 2.0 s, and = 3.5 s?(d) What is the average speed of the object between t = 2.0 s, and t = 3.5 s?Q3.The position of a particle is given by r 4i - 21j + 8°k, with r in meters, and t in seconds.(a) What is the instantaneous velocity of the particle at t = 2.0 s?(b) What is the magnitude of the instantaneous velocity at t = 2.0 s?Q4.A ball is launched from the ground into the air. At a height of 7.3 m, the velocity of the ball isobserved to be v = 8.21 + 5.7j in meters per second.(a) What is the maximum height reached by the ball?(b) What will be the total horizontal distance traveled by the ball?(c) At the instant just before the ball hits the ground, what is the magnitude and direction of itsvelocity?Q5.35025 mA ball is launched at ground level at a speed of 20 m's, at an angle of 35° above the horizontal. Ahill is located 25 m from the launch point, where it has an inclination ot 20°. How far up the hill, Ddoes the ball land?Q6. A high speed train goes around a curve at a speed of 250 km/h. What is the smallest radius ofcurvature of the track so that the maximum acceleration experienced by the passengers is 0.05g ?Q7. A person walks up an escalator that has stopped, in 100 seconds. When the escalator is moving,it takes the person 75 seconds to be carried up when they are standing on it. If the escalator is 20 mlong, how long would it take that same person to walk up the moving escalator?Q8

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Q1. A truck driving on a paved road is capable of decelerating at a constant value of 5 m/s². (a) If the truck is initially travelling at 27.4 m/s, how long does it take to come to a complete stop? (b) How far does the truck travel in this time? (c) Sketch a graph of distance vs. time and speed vs. time, when the brakes are applied. Q2. The position of an object moving along the x-axis is given by x = -2³ +2²+ 3t-5, where x is in meters, and this in seconds. (a) Find the position of the object at t=2.0 s, and t = 3.5 s. (b) What is the displacement of the object between t = 2.0 s, and t = 3.5 s? (c) What is the average velocity of the object between 2.0 s, and 3.5s? ( (d) What is the average speed of the object between t = 2.0 s, and t = 3.5 s? Q3. The position of a particle is given by r 4i-2j+8r³k, with r in meters, and in seconds. (a) What is the instantaneous velocity of the particle at t = 2.0 s? (b) What is the magnitude of the instantaneous velocity at t = 2.0 s?

Q1. A truck driving on a paved road is capable of decelerating at a constant value of 5 m/s². (a) If the truck is initially travelling at 27.4 m/s, how long does it take to come to a complete stop? (b) How far does the truck travel in this time? (c) Sketch a graph of distance vs. time and speed vs. time, when the brakes are applied. Q2. The position of an object moving along the x-axis is given by x = -2³ +2²+ 3t-5, where x is in meters, and this in seconds. (a) Find the position of the object at t=2.0 s, and t = 3.5 s. (b) What is the displacement of the object between t = 2.0 s, and t = 3.5 s? (c) What is the average velocity of the object between 2.0 s, and 3.5s? ( (d) What is the average speed of the object between t = 2.0 s, and t = 3.5 s? Q3. The position of a particle is given by r 4i-2j+8r³k, with r in meters, and in seconds. (a) What is the instantaneous velocity of the particle at t = 2.0 s? (b) What is the magnitude of the instantaneous velocity at t = 2.0 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

7:42 PM O
alll all a 95
problems on mech..
Q1. A truck driving on a paved road is capable of decelerating at a constant value of 5 m/s.
(a) If the truck is initially travelling at 27.4 m/s, how long does it take to come to a complete stop?
(b) How far does the truck travel in this time?
(cC) Sketch a graph of distance vs. time and speed vs. time, when the brakes are applied.
Q2.
The position of an object moving along the x-axis is given by x = -2 + 2? + 3t - 5, where x is in
meters, and t is in seconds.
(a) Find the position of the object at t = 2.0 s, and t = 3.5 s.
(b) What is the displacement of the object between t= 2.0 s, and t = 3.5 s?
(c) What is the average velocity of the object between t- 2.0 s, and = 3.5 s?
(d) What is the average speed of the object between t = 2.0 s, and t = 3.5 s?
Q3.
The position of a particle is given by r 4i - 21j + 8°k, with r in meters, and t in seconds.
(a) What is the instantaneous velocity of the particle at t = 2.0 s?
(b) What is the magnitude of the instantaneous velocity at t = 2.0 s?
Q4.
A ball is launched from the ground into the air. At a height of 7.3 m, the velocity of the ball is
observed to be v = 8.21 + 5.7j in meters per second.
(a) What is the maximum height reached by the ball?
(b) What will be the total horizontal distance traveled by the ball?
(c) At the instant just before the ball hits the ground, what is the magnitude and direction of its
velocity?
Q5.
350
25 m
A ball is launched at ground level at a speed of 20 m's, at an angle of 35° above the horizontal. A
hill is located 25 m from the launch point, where it has an inclination ot 20°. How far up the hill, D
does the ball land?
Q6. A high speed train goes around a curve at a speed of 250 km/h. What is the smallest radius of
curvature of the track so that the maximum acceleration experienced by the passengers is 0.05g ?
Q7. A person walks up an escalator that has stopped, in 100 seconds. When the escalator is moving,
it takes the person 75 seconds to be carried up when they are standing on it. If the escalator is 20 m
long, how long would it take that same person to walk up the moving escalator?
Q8

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