particle initially at the position x = 1 m, y = 3 m, travels with a constant velocity of = (2 m/s, 30° North of W). What is the position of the particle 5 seconds later? Graph x vs t, y vs t, y vs x.
Physics
particle initially at the position x = 1 m, y = 3 m, travels with a...
Example 3 A particle travels along the path y-2x2. At a given instant, x-1 m and dx/dt - 2 m/s which is a constant value. Find the magnitude of velocity at this instant. (Answer: v-8.25 m/s)
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...
A particle travels along a straight line with a velocity of (7+2 Determine the position of the particle when t 8 seconds. m/s. The initial position of the particle is 95 m O 660. m O 39. m O 134. m O 279 m O565. m
Initially, a particle is moving at 4.50 m/s at an angle of 35.0° above the horizontal (+x axis). Two seconds later, its velocity is 5.79 m/s at an angle of 50.0° below the horizontal. What was the particle's average acceleration during these 2.00 seconds? 1. m/s2 (x component) 2. m/s2 (y component)
A particle's position on the x-axis is given by the function (3t-4t+1) m a) Make a position-versus time graph for the interval 0< t <5 (time is measured in seconds) b) Determine the particle's velocity at t = 2 s c) Are there any turning points in the particle's motion? If so, in what position or positions? d) Where is the particle when Vx=8 m/s? e) Draw the velocity-versus time graph for the interval 0< t <5 (time is measured...
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
A particle initially located at the origin has an acceleration of vector a = 2.00ĵ m/s2 and an initial velocity of vector v i = 6.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 3.00...
A particle initially located at the origin has an acceleration of vector a = 4.00ĵ m/s2 and an initial velocity of vector v i = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 9.00...
1. A particle moves in one dimension, and its position vs. time is described by the function x0) e (t in seconds, x in meters) (a) At what time(s) is its velocity zero? At what time(s) is its acceleration zero? (b) Make a computer plot(Excel, Matlab or whatever you wish) of x vs. t from 1-o to 5 s. (c) What do you expect to see on the x vs. t graph at the time(s) that v-o? What do you...
A particle travels along the streamline defined by y^2 + 3 = 2x, where x and y are in meters. If its speed is 4 m/s when it is at x = 2 m, y = 1 m, determine the x and y components of its velocity at this point. Sketch the velocity on the streamline.