An astronaut in his space suit and with a propulsion unit (empty of its gas propellant) strapped to his back has a mass of 146 kg. the astronaut begins a space walk at rest, with a completely filled propulsion unit. during the space walk, the unit ejects some gas with a velocity of 37 m/s. as a result, the astronaut recoils with a velocity of -0.39 m/s. after the gas is ejected, the mass of the astronaut (now wearing a partially empty propulsion unit) is 165 kg. what percentage of the gas propellant was ejected from the completely filled propulsion unit

You throw a baseball directly upward at time =0 at an initial speed of 14.9 m/s. what is the maximum height the ball reaches above where it leaves your hand? ignore air resistance and take =9.80 m/s2.

If the area of a square has increased by a factor of 16, by how much has each side increased?

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.