please answer question #5 é o ANTA d.o. e. Does not exist 5. Given that f(x)...
The position of a particle moving along an x axis is given by x = 12t^2 -2t^3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.0s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached?
Not sure if these are right 2· The e motion of a particle is modelled by the equation s(e) 5+9t-6t2+t3, where s is measured in metres and t is time in seconds. a) When is the particle at rest? (2) (3) When is the particle moving in a positive direction? b) vct) -124+30 Ct-1 Ct d-9-12t t3t2 ve) c) Draw a diagram to show the motion of the particle with respect to a distance axis, Indicate key time values Determine...
Prob. 3 If a 2-kg particle moves along a path given by: r(t) = 5 m = constant, and (35) e(t) = 2t rads with t in seconds (36) Sketch and name the entire motion path, and determine the magnitude of the net force and acceleration at any time that you choose.
C, D, F??????? A partidle moves according to a law of motion s-t), t0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) ft) - - 721t (a) Find the velocity at time t -32-14 +21 ft/s (b) What is the velocity after 1 second? 1)10 ft/s (c) When is the particle at rest? t 2.33333333 | X (d) when is the particle moving in the positive direction? (Enter your answer...
Question 2 If F(x, y, z) = (ef sin y, e' sin z, é sin x), find a) Determine V.F b) Determine V x F [101
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
solve for x for the first question , please show steps. if others are done that would be greatly appreciated © (e) 3sin’r-8sinx-3=0, 0sxs2 MHF 401 Page 3 3) 2. Sketch the function f(x) = 206.X + 3)(x-4) 3) 3. Given: f(x)= x + 2x -5 and g(x)=3r-1 determine (fog)(x): 3 5. The displacement of an object, in metres, is given by f(t)=573 -472 +1-3, where t is time in seconds. (a) Find the average rate of change of displacement...
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]...
want answer for both the question with explanation please 40) A particle moves along the x-axis so that at any time t0, its acceleration Is given by a(e In (3+4). Ir the velocity of the particle is 5 at t-2, Then the velocity of the particle at time t3 is A) 5.897 B) 6.908 C 8.562 D) 9.896 E) 9.994 41) Let g be the function given by g (x) cos () dt for-i<x On which interval is g decreasing?...
Particle of mass m moves along x-axis under a conservative force given by F=A(e^(-2(x-xo)/xo)-e^(-x/xo)) where A and xo are constants. Assume potential energy at infinity (Uo) =0. Calculate the potential energy of the particle in term of A,x,and xo.