A path of a particle is y = 3x2 (m), when x = 6 m, vx = 4 m/s, ax = 0.5 m/s2, please determine the magnitudes of acceleration and velocity at x = 6 m.
A path of a particle is y = 0.2x2 (m), when y = 10 m, vy = 1.2 m/s, ay = 0.1 m/s2, please determine the magnitudes of acceleration and velocity at y = 10 m.
F12-18. A particle travels along a straight-line path y 0.5x. If the x component of the particle's velocity is vr= (2) m/s, where t is in seconds, determine the magnitude of the particle's velocity and acceleration when = 4 s. y =0.5x Prob. F12-18 F12-19. A particle is traveling along the parabolic path y 0.25x. If x 8 m. , 8 m/s, and a, 4 m/s2 when 2 s. determine the magnitude of the particle's velocity and acceleration at this...
1. <Problem Due> A particle is traveling along the path defined by y=(x - 1)?. If x = 0.562 m, where t is in seconds, calculate the magnitudes of the particle's velocity ū and acceleration ā when t = 1 s. Also, sketch your results and show the directions of ū and ā when t= 1 s.
A particle is moving along a straight path such that the acceleration a = (3v2-2) m/s2, where v is in m/s. If v = 15 m/s when s = 0 and t = 0, please determine the particle’s position, velocity, and acceleration as functions of time.
A particle is moving along a straight path such that the acceleration a = (3v-2) m/s2, where v is in m/s. If v = 15 m/s when s = 0 and t = 0, please determine the particle’s position, velocity, and acceleration as functions of time.
A particle travels along the circular path x2 +y-r, when the time t = 0 the particle it's at-r meter and y =0 m. If the y components of the particle's velocity is Vy 2r cos2t, determine: (a) the x and y components of its acceleration at any instant. (b) Draw the trajectory with the vector velocity and acceleration at t = π/4 sec. (c) calculate the average vector velocity between 0 and t/4 sec. (d) the distance travelled when...
1. A particle is moving along a straight path such that the acceleration a (3v2-2) m/s2, where v is in m/s. If v = 15 m/s when s-0 and 1-0, please determine the particle's position, velocity, and acceleration as functions of time
parts a through e please with work.
A particle travels along the circular path x2 +y-r, when the time t = 0 the particle it's at-r meter and y =0 m. If the y components of the particle's velocity is Vy 2r cos2t, determine: (a) the x and y components of its acceleration at any instant. (b) Draw the trajectory with the vector velocity and acceleration at t = π/4 sec. (c) calculate the average vector velocity between 0 and...
Given: A particle with a mass of 0.5 kg moves along the x-axis and is braked by a horizontal braking force that provides the following braking acceleration: Ax(vx) = -0.005 vx2 (m / s2) The initial conditions at time t = 2 (s) are: x (2) = 25 (m) and vx (2) = 40 (m / s) The question is to determine the specific time t* at which the x coordinate is given by x (t*) = 200 (m)
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...