Q3 a) A particle is moving along a straight line such that its acceleration is defined as a = (-3v) m/s, where v is in

meters per second. If v = 28 m/s when s = 0 and 1 = 0.

determine the particle's position, velocity, and acceleration

as functions of time.

b) The acceleration of a particle traveling along a

2

straight line is a 31/2 m/s, where s is in meters. If v=0.

s=2 m when t=0. determine the particle's velocity at s =3 m.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.