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The position x as a function of time of a particle that moves along a straight line is given by:
The velocity v(t) of the particle is determined by the derivative of x(t) with respect to t, and the acceleration a(t) is determined by the derivative of v(t) with respect to t.
Derive the expressions for the velocity and acceleration of the particle, and make plots of the position, velocity, and acceleration as
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Chapter 5 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
- building robots for kids to teach them science at an early age. However, there is an excess charge in the toy creating an excess electric field making the toy fail the FCC tests. Since, they know you have taken ECE 106, you are given the task to ascertain the charge distribution. You do careful measurements of the Electric inside and outside the toy and ascertain that the Electric field varies as (as defined on spherical co-ordinates): 13 a 1- r;rarrow_forwardThe rotational mechanical system shown in the figure has a state with 1 (t) outlet and T (t) input. Find the space model? N: Number of Teetharrow_forwardPartII Say you've deployed a robot that can can measure electric field due to specified charge at the specified location with good accuracy. And you got these results from the robot: Electric field due to q1 at point pi is (-64481.0) î + (-8060.0) ĵ Electric field due to q2 at point pi is (-8232.0) î + (10477.0) } Electric field due to q1 at point p2 is (-1334.0) î + (-4002.0) } Electric field due to q2 at point p2 is (-13033.0) i + (–7820.0) Electric field due to q3 at point p2 is (-4868.0) î + (-2164.0) } c) Find the net Electric field at p1. x component of the vector Give your answer up to at least three significance digits. N/C y component of the vector Give your answer up to at least three significance digits. N/C d) Find the magnitude of the force on charge q4 = 17 nClocated p1. Is it an attractive force or repulsive force? Explain briefly. Magnitude of the force Give your answer up to at least three significance digits. Narrow_forwardThe acceleration of a particle is given by a = 8t - 30, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = 8 m, and the initial velocity is vo = 0 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: At t = 4.5 s, S = m, v= m/s Att = 8.7 s, S = i m, v= i m/sarrow_forward5- If the acceleration of a particle is a = 4 t ( m/s?) when v = 0 at t =0. What is the velocity at t = 2 s? a) 12 m/ s b) 36 m/s c) 41 m/ s d) 59 m/ s e) 16 m/s f) None of themarrow_forwardFind the standard form of the equation of the parabola with the vertex at the origin and the equation of the directix is x= 1arrow_forwardVectors and Electromagneticscomplete solutionarrow_forwardA particle moves along a straight path with velocity v(t) = (4 - 4t) m/s at a time s. What is the total distance traveled by the particle from 0 sec to 4 secsarrow_forward(D) - Draw the displacement, velocity and acceleration of simple harmonic motion as functions of timearrow_forwardTo verify that V/m is truly an electric field, show that, answer step by steparrow_forwardwhat you called, if the motion of the object takes place along a straight line a. Translational motion of the system b. Rotational motion of the system c. The time constant of the first order system d. The steady state response of the system Clear my choicearrow_forwardQ1) The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s', where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's velocity and position when t = 6 s. Also, determine the total distance the particle travels during this time period.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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