A car moves along a straight road according to the equation a = 18t, where a is in m/s² and t is in seconds. Find the position (in meters) of the particle after t = 4, given that at initial condition (t = 0), the velocity is v=1m/s and the position x = 2m. 150 225 198 130

A car moves along a straight road according to the equation a = 18t, where a is in m/s² and t is in seconds. Find the position (in meters) of the particle after t = 4, given that at initial condition (t = 0), the velocity is v=1m/s and the position x = 2m. 150 225 198 130

Name: QUESTION 3A car moves along a straight road according to the equation
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: QUESTION 3A car moves along a straight road according to the equation a = 18t, where a is in m/s² and t is in seconds.Find the position (in meters) of the particle after t = 4, given that at initial condition (t = 0), the velocity is v=1m/s and the

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 5CQ: A book is moved once around the perimeter of a tabletop with the dimensions 1.0 m by 2.0 m. The book...

See similar textbooks

Similar questions

After a long and grueling race, two cadets, A and B, are coming into the finish line at the Marine Corps marathon. They move in the same direction along a straight path; the position-versus-time graphs for the runners are shown in Figure P2.7 for a minute near the end of the race. a. At time t1 is the speed of cadet B greater than, less than, or equal to the speed of cadet A? b. At time t2, is cadet B speeding up, slowing down, or moving with constant speed? c. From time t = 0 to time t = 60 s, is the average speed of cadet B greater than, less than, or equal to the average speed of cadet A? Explain.
A book is moved once around the perimeter of a tabletop with the dimensions 1.0 m by 2.0 m. The book ends up at its initial position. (a) What is its displacement? (b) What is the distance traveled?
Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length per time, and radius r has the dimension of length. Which of the following expressions may be correct? Explain your answer in each case. a. a = vr b. a = v/r c. a = v2/r d. a = v/r2
(a) Refer to Table 1.3 to determine the average distance between the Earth and the Sun. Then calculate the average speed of the Earth in its orbit in kilometers per second. (b) What is this in meters per second?
Figure P3.40 shows a map of Grand Canyon National Park in Arizona. You need a ruler and protractor for this problem, a. Paul hikes from Cape Royale to Point Sublime. Find the magnitude and direction of his displacement, ignoring any difference in altitude between the two points, b. Lil hikes from Point Sublime to Cape Royale. Find the magnitude and direction of her displacement. Compare your answer with that of part (a).
A racing car accelerates uniformly from rest along a straight track. This track has 2 markers spaced at equal distances along it from the start, as shown in the figure. The car reaches a speed of 140 km/h as it passes marker 2. Where on the track was the carwhen it was traveling at 70 km/h? A) Before marker 1B) Between marker 1 and marker 2 C) At marker 1
Hi I am in physics 1 and I need help with this problem. It saids a boy runs in an open field. He runs 233m due north in 77 seconds, turns 90 degrees to his left and runs 178m in 93 seconds. Sketch a map of his motion and find the following quantities of his motion during this period from starting time to final time a) Map of his motion b) The total distance he runs (233m + 178m= 411m) c) The displacement from starting position to final position. What I have thus far is I got c=sqrt (233)^2+(178)^2=293m. Would I subtract this number from the total distance? Please includes detailed steps of how to solve this
1) A student travels 10 miles east from his home to Ocean County College. However, his odometer reading goes up 15 miles. (a) What is his displacement? (b) What is the length that he traveled? (c) What do you assume happened to cause his displacement to be different than length traveled?
You and your family drive to California for a well deserved vacation. You leave Houston at 4:00 am on Friday, drive straight though the night, and arrive in San Diego at 5:00 am the next day. If the distance between Houston and San Diego is 1900 kilometers, what was your average velocity on the drive? (Ignore the time zone change)
q2 A galah (Eolophus roseicapilla) flies 1.1 km north and then 4.3 km west, in a total time of 75 minutes. What is its displacement from the starting position? Enter only the numerical part of your answer (in km) to one decimal figure.
1. Andrew and Kevin decide to try out the physics ideas that they are learning and take their baseball pitching machine and a baseball to a 96 feet tall local building. Based on what they have learned the height, s(t), of a baseball, thrown straight up with an initial speed of 80 feet per second from a rooftop 96 feet high is s(t)=-16t^2+80t+96 where t is the elapsed time that the baseball is in the air. The baseball that is pitched miss the rooftop on their way down and eventually strike the ground. a) What is the average velocity of a baseball from t=0 to t=2 seconds? b) What is the velocity of the baseball 2 seconds after it is thrown? c) After how many seconds will the velocity of the baseball reach zero? d) What is the velocity of the baseball t seconds after it is thrown? e) What is the velocity of the baseball as it passes the roof top on the way down?
Mr. M gets on his bike and rides 11m in the direction of [E52S]. He then changes his direction to [W11N] and rides another 5.7m. a) What was his total displacement? b) What was his distance traveled?