A ball of mass m slides down a frictionless ramp from an initial height h1 = 10 m with respect to the ground. The ramp exhibits a curvature near the bottom such that the
ball is launched from the end of the ramp at a height h2 = 1 m above ground level and at
an inclination angle of θ = 40◦ with respect to the horizontal (see figure). Find the total
distance ∆x that the ball lands as measured from the end of the ramp, assuming that the
ball lands at ground level. Ignore air resistance, and treat the ball as a point source.

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.