The position of a particle is given by the function z -(2t3 -9t? +12) m, where...
The position of a particle is given by the function x-(2t3-9t2 + 12) m, where t is in s. What is the particle's acceleration at this times? Express your answer using two significant figures. Enter your answers se a(0), a(3) m/s
The position of a particle moving along an x axis is given byx=12t2-2t3, where x is in meters and t is inseconds. Determine (a) the position, (b) the velocity, and (c) theacceleration of the particle at t=3.0s. (d) What is the maximumpositive coordinate reached by the particle and (e) at what time isit reached? (h) What is the acceleration of the particle at theinstant the particle is not moving (other than at t=0)? (i)Determine the average velocity of the particle...
The position of a particle is given by the function x = (5t3-9t2 + 12) m, where t is in s. At what time does the particle reach its minimum velocity? What is (vz min At what time is the acceleration zero?
5. The position of a particle as a function of time is given by x(.5 m/)t -(5.0 m/z)2 what is the average velocity of the particle between t = 1.0 s and 1.5 s?
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 particular particle as a function of time is given by r = (9.80t·i-885j-1.00 t2·k)m, where t is in seconds. Part AWhat is the average velocity of the particle between t=1.00 s and t=3.00 S? Part B What is the magnitude of the instantaneous velocity at 3.00 s?
horizontal position, x, of a particle as a function of time is given by the equation xo + vo t + ½ at' , where xa vo and ao are constants. Find the velocity as a function of time. (2) Ifx0 2.0 m and vo 2.0 m/s and ao 1.0 m/s, find the acceleration of the particle in problem (1) at the time t-10.0 s
the position of a particle as a function of time is given by x = 3.8cos (1.25t + 0.52) where t is in seconds and x is in meters a) find the period (in s) b) acceleration (m / s2) at t = 2.0s
The position of a particle as a function of time is given by 7 (t) =11-2t + 3)j + t'k where t is in second. What is the average velocity of the particle in (m/s) between t=0s and t=157 31 2joak 312 31+4k 1214
The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t3 - 3t2 - 36 + 7 fort 20 (a) Find the velocity and acceleration functions. v(t) = a(t) = (b) Determine the time intervals when the object is slowing down or speeding up. (Enter your answers using interval notation.) slowing down speeding up