Here,
the velocity is greatest when the slope of the x-t graph shall be greatest and it should be positive
Q and S have zero slope.
while the slope at R is negative
NOw, P is the point of greatest velocity
hence , the velocity is greatest at A) point P
This is the x-t graph of the motion of a particle. Of the four points P...
An object's motion is represented by the x vs. t graph shown below Hint: Velocity is the slope of x vs. t graph, and acceleration is slope of v vs. t graph. 130 points: 5 points each r (s) t (a) a. Draw the corresponding v vs. t graph on the axes provided. b. Draw the corresponding a vs. t graph on the axes provided. c. At what times is the position a maximum (most positive)? At those times, is...
Problem #2 (35 Points) Given The motion of a particle P which coincides with the robot's gripper hand at point A is defined by the relations r-|kıBeos(K2O) ] m and θ (k31) rad, where t is expressed in seconds. Please note that ki, k2, and ks are constants which are greater than zero. For the initial condition, the particle has an angle of 0-0 when t 0 sec. So, when t 2 sec, Find a) The "script" values for radial...
Last Name: Page Problem #2 (35 Points) Given The motion of a particle P which coincides with the robot's gripper hand at point A is defined by the relations where t is expressed in seconds. Please note that kı, k2, and ks are constants which are greater than zero. For the initial condition, the particle has an angle of 0-0° when-0 sec. So, when t 2 sec, Find: a) The "script" values for radial and transverse coordinates, that is, r,t,i,...
Which graph of v versus t best describes the motion of a particle with positive velocity and negative acceleration? 9. 5 B. (2) C. (3) D. (4) E. (5)
A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 6.0 m/s. (a) what is the coordinate of the particle at t = 5.0 s? (b) what is the velocity of the particle at t = 5.0 s? (c) what is the acceleration of the particle...
Mechanics. Need help with c) and d) 1. A particle of mass m moves in three dimensions, and has position r(t)-(x(t), y(t), z(t)) at time t. The particle has potential energy V(x, y, 2) so that its Lagrangian is given by where i d/dt, dy/dt, dz/dt (a) Writing q(q2.93)-(r, y, z) and denoting by p (p,P2, ps) their associated canonical momenta, show that the Hamiltonian is given by (show it from first principles rather than using the energy) H(q,p)H(g1, 92,9q3,...
(1 point) Suppose the position of a particle in motion at time t is given by the vector parametric equation r(t) = (3/t - 2), 7, 2+3 – 6t). (a) Find the velocity of the particle at time t. v(t) = (b) Find the speed of the particle at time t. Speed = (c) Find the time(s) when the particle is stationary. If there is more than one correct answer, enter your answers as a comma separated list. t =
Mathematics 1E SESSION 1, 2018 A particle undergoing straight line motion has velocity (in ms 9. given by [10 Marks] v(t) = e2 -3e at time t seconds, where t > 0. a) Determine the initial velocity b) Show that the particle is stationary when t In 3 c) Determine an expression for a(t), the acceleration of the particle. d) Given that v(In 2)= -2 and a(ln 2) 2, determine whether the particle's speed is increasing or decreasing when t=...
If the position of a particle is given by x=20t-5t^3 x = 20 t ? 5 t 3 , with x in meters and t in seconds, when, if ever, is the particle's velocity zero? b) When is the acceleration a zero? c) For what time range (positive or negative) is a negative? d) Positive? e) Graph x ( t ) , v ( t ) , and a ( t ) .
An object's motion Is represented by the x vs. t graph shown below. [25 points: 5 polnts each] 4. 7 a. Is the motion periodic? b. Is this simple harmonic motion? c. What is the period? d. What is the frequency? e. Draw the object's v vs. t graph on the axes provided.