1.A nozzle discharges a stream of water with an initial velocity v0 of 50 ft/s into the end of a horizontal pipe of inside diameter d=5ft. determine the largest distance x that the stream can reach.
2.the velocity of a particle is given by the relation v=100-10x, where v is expressed in meters per second and x in meters. Knowing that x=0 at t=0, determine (a) the distance traveled before the particle comes to rest, (b) the time t when x=5m, (c) the acceleration at t =0.
3.Determine the root of the function f(x)=4x^3-6x^2+7x-2.3 use bisection method with initial guess of x_i=0 and x_u=1. Iterate until the relative error, falls below 5%.