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

Note:- “Since you have asked multiple questions, we will solve the first question for you. If you…

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.

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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 114CP: A cyclist sprints at the end of a race to clinch a victory. She has an initial velocity of 11.5 m/s...

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

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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