Please show work During a given lime interval, a radar station tracking an airpl
ID: 1823406 • Letter: P
Question
Please show work
During a given lime interval, a radar station tracking an airplane records the readings r-(t)= [447.7cos theta (t) + 12.94 sin theta (t)] mph, r(t) theta . (t) = [12.94 cos theta (t) - 447.7 sin theta (t)] mph, where t denotes time. Determine the speed of the plane. Furthermore, determine whether the plane being tracked is ascending or descending and the corresponding climbing rate (i.e., the rate of change of the plane's altitude) expressed in ft/s. v = mi/h The airplane is at a rate of ft/s.Explanation / Answer
ur(t)=dr/dt
integrating dr/dt we get r(t)
u(t)*r(t) is given
from above we get u(t)
ux=urcos-usin
uy=ursin+ucos
u=(ur2+u2) (Ans)
rate of change of plane's altitude=uy
if uy is +ve then plane is ascending
if uy is -ve then plane is descending