(2)(Gpts) At0 a partiele is in the position (-3,0,0) and ns a velocity wector a) Find the positio...
The acceleration of particle is given as a function of velocity, a(v), find the position as a function of velocity, v(s)
Given A position of a particle which moves along a straight line is defined by the relation'小64-m» 40, where s is expressed in feet and t in seconds Find a) O b) Or derive the equation of the particle's acceleration as a c) The time at which the velocity will be zero. d) The position of the particle when the velocity is zero. e) The acceleration of the particle when the velocity is zero. t) The displacement of the particle...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
Problem #1 (35 Points) Given The velocity of a particle as it moves along a straight line is given by v (-12+36t-6t2) ft/s, where t is in seconds. At the initial condition ( 0), so 2 ft. Find a) The acceleration of the particle as a function of time. b) The acceleration of the particle when -6 seconds. c) The position of the particle as a function of time. d) The position of the particle when -6 seconds. e) The...
Please solve these three questions! (1) Length of graphs a) Let a path C be given by the graph of y g(x), a 3 < b, with a piecewise C1 function g : [a, b - IR. Show that the path integral of a continuous function f: IR2- R over the path C is b) Let g : [a, b] - IR be a piecewise C1 function. The length of the graph of g on (t, g(t)). Show that [a,b]...
1. Find the electric field (in vacuum) as a function of position z along the axis of a uniformly charged disk of outer radius R with a hole of radius R in its centre. The charge per unit area on the disk is σ. 2, A straight rod, with uniform charge λ per unit length, lies along the z axis from z=11 to z=12-(Thus, the length of the rod is l2-11.) Find the x and y components of the electric...
1. Find the electric field (in vacuum) as a function of position z along the axis of a uniformly charged disk of outer radius R with a hole of radius Ri in its centre. The charge per unit area on the disk is σ. 2. A straight rod, with uniform charge λ per unit length, lies along the z axis from z=11 to z=12. (Thus, the length of the rod is 12-11.) Find the x and y components of the...
Electric Field Vector Drawing 2 of 4 Constants Part A Each of the four parts of this problom depictsa motion diagram showing the posihion and velocity of a charged particle at equal time intervals as it moves through a region of uniform electric field. For each part daw vector representing the direction f the electric field Draw a vector representing the direction of the electric field. The orientation of the vector will be graded. The location and length of the...
At time t = 1, a particle is located at position (x, y) = (3, 2). If it moves in the velocity field F(x, y) = xy − 1, y2 − 9 find its approximate location at time t = 1.04.