The acceleration of a particle is given by a = 8t - 30, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement att = 0 is so = 8 m, and the initial velocity is vo = 0 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: Att = 4.5 s. S= m, V = i m/s Att = 8.7 s, s = m, V = i m/s

The acceleration of a particle is given by a = 8t - 30, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement att = 0 is so = 8 m, and the initial velocity is vo = 0 m/s. After you have the general expressions, evaluate these expressions at the indicated times. Answers: Att = 4.5 s. S= m, V = i m/s Att = 8.7 s, s = m, V = i m/s

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.27P

See similar textbooks

Similar questions

Draw the acceleration-time, velocity-time, distance-time graph of a particle that has a constant acceleration of 9m/s^2 for 6 seconds and a starting velocity of 5m/s, what is the final velocity and total distance traveledby the particle. (starting distance traveled=0m)
A metal rod having a mass m and length l has resistance R. The rod hangs from two vertical metallic wires of length l in a uniform vertical magnetic field B of a horseshoe magnet (see figure). The wires have negligible resistance. An AC voltage source is connected between the wires which provides a voltage U(t) = U0 cos ωt, where U0 and ω are constants. a) Show that for small angular displacements φ the motion of the rod can be described by the equation U(t) = αφ ̈ + βφ ̇ + γφ, and express the constants α, β, γ in terms of quantities m, l, B, R and the gravitational acceleration g. b) At a certain frequency ω = ω0 the amplitude of the oscillations of the rod becomes large and the equation above does not describe themotion anymore. Estimate the frequency ω0.
The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 50 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N60°E at an airspeed (speed in still air) of 250 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.
The position of a particle is given by s=2t^3-40t^2+200t-50 , where s is in meters and t is in seconds. Determine the position, velocity v , and acceleration a when t=2 sec. *
The force on a particle is directed along an x axis and given by F = F0(x/x0 - 1) where x is in meters and F is in Newtons. If F0 = 2.3 N and x0 = 3.8 m, find the work done by the force in moving the particle from x = 0 to x = 2x0 m.
An infinitely large flat surface has a surface density of electric charge. The surface moves with constant velocity in a parallel direction. Show that the differential version of the Poynting theorem holds at all points above and below the surface.
A plastic ball with a mass of 2 grams is hung on a 10 cm long thin rope as in the spherical figure,a uniform electric field is applied in the + x direction. When the rope is made at an angle of 15 ° verticallyIf the ball is in equilibrium, calculate the net load (in uC) on the plastic ball.
Experiments show that a steady current in a long wire pro duces a magnetic field that is tangent to any circle that lies in the plane perpendicular to the wire and whose center is the axis of the wire (as in the figure at the right). Ampère’s Law relates the electric current to its magnetic effects and states that C B dr 0 I where is the net current that passes through any surfacebounded by a closed curve , and is a constant called the permeability of free space. By taking to be a circle with radius , show that the magnitude of the magnetic field at a distance from the center of the wire is B 0 I 2pi r
can you please solve this question, thanks. In free space, let Q1 = 10 nC be at P1(0,-4,0) and Q2 = 20 nC be at P1(0,0,4). Find E at the origin.
Derive an expression for the unknown resistance and unknown inductance of Maxwell's bridges with a neat circuit representation. Please answer i will like it....... This question from measurement
An inclined plane of angle θhas a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface as shown. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v. Calculate By what distance is the spring compressed when the block momentarily comes to rest? develop an equation for x. x when θ=30.0° , k = 1 kN/m, m = 5 kg, d = 0.5 m, and v =1 m/s. If we add another spring in series, by what distance is the spring compressed when the block momentarily comes to rest? If we add another spring in parallel, by what distance is the spring compressed when the block momentarily comes to rest?
Create two problems about Steady-State Heat Flow – Heat Convection in Fluid, and write your solutions. Thank you!