Answered: Which of the following position…

Name: Which of the following position functions corresponds to a motion with
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: Which of the following position functions corresponds to a motion with zero instantaneous velocity at any time t? a) x(t) = 2.13b) x(t) = 4.32t c) x(t) = 1.97t2 + 3 d) x(t) = t/6.2

Science

Physics

Which of the following position functions corresponds to a motion with zero instantaneous velocity at any time t? a) x(t) = 2.13 b) x(t) = 4.32t c) x(t) = 1.97t2 + 3 d) x(t) = t/6.2

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

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 2P

See similar textbooks

Similar questions

The position of a particle moving along the x axis varies in time according to the expression x = 3t2, where x is in meters and t is in seconds. Evaluate its position (a) at t = 3.00 s and (b) at 3.00 s + t. (c) Evaluate the limit of x/t as t approaches zero to find the velocity at t = 3.00 s.
A truck tractor pulls two trailers, one behind the other, at a constant speed of 1.00 102 km/h. It takes 0.600 s for the big rig to completely pass onto a bridge 4.00 102 m long. For what duration of time is all or part of the truck-trailer combination on the bridge?
A positiontime graph for a particle moving along the x axis is shown in Figure P2.5. (a) Find the average velocity in the time interval t = 1.50 s to t = 4.00 s. (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph. (c) At what value of t is the velocity zero? Figure P2.5
Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position. a(t) = 2 + 3 sin t; ν(0) = 1, s(0) = 10
A particle moves according to a law of motion s = 2t^3 − 9t^2 + 12t + 1.a. Determine the velocity of the particle when it has acceleration of 2 m/s^2.b. When is the particle moving in a positive direction?
A particle's position varies with time given by the following equation: x(t) = 35.2[m] + (12.5[m/s²])t² What is its instantaneous velocity at t = 1.00 s? Can you explain how to solve this
The position of a particle moving along the x-axis varies with time according to x(t) = 5.0t2 − 4.0t3 m. Find (a) the velocity and acceleration of the particle as functions of time, (b) the velocity and acceleration at t = 2.0 s, (c) the time at which the position is a maximum, (d) the time at which the velocity is zero, and (e) the maximum position.
Given the following acceleration function of an object moving along a line, find the position function with the given initial velocity and position. a(t)=0.4t; v(0)=0, s(0)=7 s(t)=_? (Type an expression using t as the variable.)
An item on a straight line has a displacement s and time t of: s= -6t^6 - 4t^4 + 2 What is the velocity of the item at time t= 7?
The position of a particle moving along the x axis is given by x = (10 +5t -4.0t2)m, where t is in s. What is the average velocity (in m/s) during the time interval t= 1.0s to t =2.0s
A particle moves along the +ve direction of x-axis. Its position x depends on time t as x=at3+bt2+c+d. Let dx/dt represent instantaneous velocity d2x/dt2 represents instantaneous acceleration (α) of the particle.The average acc. of the particle is defined as <α> =∫αdt/dt. Find the average acc. in time interval t=0 to t=1s.
A particle is moving along the x-axis so that its position at t≥0 is given by s(t) =(t)ln(2t). Fnd the acceleration of the particle when the velocity is first zero. a) 2e2 b) 2e c) e d) none of the above