14- The position of a moving particle at timet is given by x = 4t +3,...
For timet > 0, the acceleration of a particle moving along the x-axis is given by a (t) = cost+t. At time t = 0, the velocity of the particle is 8 and the position of the particle is 0. What is the position of the particle at time t = ?
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position of the particle at this instant.
QUESTION 21 The position of a particle is given by s(t) = 244-72 +42 + 7+ - 14. Find the acceleration of the particle when t = 1. OA-14 OB. 11 OC -24 OD. 23 OE. 26
calculus 3 8. The position of a particle moving in a circular path is given by r(t) =< -4 sin(3t), 4 cos(3t) >. Find the speed v of the particle at any time t.
The position of a particle moving with constant acceleration is given by x(t) = 2t2 + 4t + 4 where x is in meters and t is in seconds. (a) Calculate the average velocity of this particle between t = 2 seconds and t = 4 seconds. 16 m/s Correct: Your answer is correct. (b) At what time during this interval is the average velocity equal to the instantaneous velocity? (c) How does this time compare to the average time...
A particle is moving with the given data. Find the position of the particle. a(t) = t’ – 4t + 6, s(0) = 0, s(1) = 20
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...
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...
The position of a particle moving along an x axis is given by x = 12t2 - 2t3, 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 = 3.0 s. Determine the average velocity of the particle between t = 0 and t = 3s.
The position of a particle moving along an x axis is given by x = 12. t2 2.00t3 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 = 4.00 s. (d) what is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at...