Assuming an undamped system, the speed of a motor versus a voltage input of 20V, that is, the open loop response, is expressed by the equation: 20 = (0.02)- dw + (0.06)w. dt If the initial velocity is zero(w(0) = 0), pass the 4th Degree Runge-Kutta method = determine the velocity at 0.8sec. Number of steps h = 0.4s. NOTE : The "real solution" of the differential equation is given by the expression : (1000' w(t) = () – xe 1000 e-3t |

Q: The acceleration of a moving particle at any time t is given by expression 6t – 24. Find the…

A: given acceleration a(t)=6t-24

Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for…

A: Topic = Algebra

Q: Suppose the velocity of an object at time t is given by v(t) + m/s. 4(21+5)² 100 Find the average…

A:

Q: The equation for the parachutist's velocity is given by: gm (1-e-c/m)t) where t is the time, g is…

A: We will solve this question using fixed-point iteration scheme.

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

A:

Q: ppose that a particle moves along a straight line with velocity v(t) = 14 – 6t, where 0 <t < 2 (in…

A: To solve the following problem on distance and displacement

Q: The upward velocity of a rocket can be computed by the following formula: v = uln mo mo-qt - gt…

A:

Q: A motorboat weighs 32,000 lb and its motor provides a thrust of 3000 lb. Assume that the water…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 3t, where 0<t < 4 (in…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.