A car moves in a straight line so that its position changes at every moment according to the relationship:*(1) = 3t – 41² + t³ Where X is in meters and t is in seconds. 1) What is the position of the car at moments t=1,2,3,4 s? 2) What is the displacement of the car between the moments t=0s and t=4s 3) What is the average velocity between the two moments t=2s and t=4s 4) Calculate the obiect's instantaneous velocity at t=3s

A car moves in a straight line so that its position changes at every moment according to the relationship:*(1) = 3t – 41² + t³ Where X is in meters and t is in seconds. 1) What is the position of the car at moments t=1,2,3,4 s? 2) What is the displacement of the car between the moments t=0s and t=4s 3) What is the average velocity between the two moments t=2s and t=4s 4) Calculate the obiect's instantaneous velocity at t=3s

Name: A car moves in a straight line so that its positionchanges at every m
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: A car moves in a straight line so that its positionchanges at every moment according to therelationship:*(1) = 3t – 41² + t³Where X is in meters and t is in seconds.1) What is the position of the car at momentst=1,2,3,4 s? 2) What is the displacemen

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)...

See similar textbooks

Similar questions

PLEASE ANSWER LETTERS B TO DThe position of a particle is given by the equation s(t) = t3 − 6t2 + 9t, where t is in seconds and s in meters.a) What is the velocity after 2 s? After 4 s?b) Find the instant when the particle reverses directionc) Determine the time intervals when it is moving to the LEFT? RIGHT?d) Find the initial position and the positions when it changes direction
A Grab driver uses his navigation app to locate his next passenger. According to the app, he needs to drive his car along the following route: 2.6 km S, 4.0 km E, and 3.1 km W of S. Determine his resultant displacement.
What is the displacement of the object from 2 to 7 seconds? Position (m) O NON A 0005 10 O O 5 m -6 O 12 m - 12 m - 8 m 0m O 8 m -5m Position vs Time Time (s) O 10
S23-MATH 012 20 ← Section 1.4a: The Net Cha... CURRENT OBJECTIVE Find the net displacement of a particle given its velocity function Question The velocity function below corresponds to the motion of a particle. If the velocity is measured in meters per second, what is the net displacement of the particle for the first 5 seconds? v(t) -6t+2 if 0
Assume the velocity of a particle is given by v(t)=t^2 -3t-4, in cm/s i) Find the displacement in the first 5 seconds: cm. ii) Find the total distance traveled in the first 5 seconds: cm. iii) Find the general form of the position function: s(t)= the acceleration of the particle at t=5: cm/s^2
The coordinate of a particle in meters is given by x(t) = 82t-25t, where the time t is in seconds. The particle is momentarily at rest at t =---s %3D Note: write the answer with two decimal places Answer.
1. a 100kg astronaut (including the space suit) becomes untethered during a space walk and drifts to a distance of 10m from the mother ship. To get back to the ship, he throws his 2.5kg tool kit away with an acceleration of 8.0ms-1 that acts over 0.50s. a) How does throwing the tool kit away help the astronaut in the situation? b) How large is the fact that acts on the tool kit and the astronaut? c) With that speed will the astronaut drift to the mother ship? d) How long will it take for the astronaut to reach the ship?
10) An object has a position given by [2.0 m+ (5.00 m/s)] + [3.0 m - 2.00 m/s2)/2, where quantities 7 are in SI units. What is the speed of the object at time -2.00 s? 10) A) 7.65 m/s B) 7.00 m/s C) 13.0 m/s D) 6.40 m/s E) 9.43 m/s
The motion of a particle is defined by the relation x=3t3-6t²-12t+5, where x and t are expressed in m and sec, respectively. Determine the average speed during the time interval I SIS4. A) 12 m/s (в) 21 m/s 33 m/s D) 27 m/s E) 24 m/s
2.) A particle moves along the x-axis with position varying according to the expression x = (5t* + 2.5t3)- 4t , where x is in meters and t is in seconds. (a) What is the average velocity fromt = 2.5 to t = 4.0 seconds? (b) Calculate for the instantaneous velocity of the particle at t = 3.0 seconds. (c) What is the average acceleration of the particle from t = 2.0 to t = 3.0 seconds? (d) What is the instantaneous acceleration of the particle at t = 3.5 seconds?
For 4.95 seconds, a particle moves in a straight line according to the position function f(t) = (t³ + 1)(5 – t) – 5 where t is measured in seconds and f in feet. You can visualise this motion and verify many of your answers using a graph. First attempt all the problems by hand, and then graph the position function to verify your answers. a) What is the position of the particle at t = 0, t = 1, t = 2, t = 4.95? b) Find the velocity of the particle at time t. What is the velocity of the particle at t = 0, t = 1, t = 2, t = 4.95? c) When is the particle at rest? When is the particle moving forward?
Question: The velocity of a particle moving in the xy plane is defined byů = (6.0t – 4.0t²)î + 8.05(÷) when the acceleration is zero. A) 0.75s B) 1.75s C) 2.75s D) 3.75s E) 4.75s