3. The radar tracking an airplane gives the coordinates of the plane as r(t) and 0(t). At some instant of time, 0 = 40° and r = 6400 ft. From successive measurement of r and 0, the first derivatives at this instant are estimated as r=312 ft/s, Ô= 0.039 rad/s2, and the second derivative, f=9.67 ft/s?, = 0.003807 rad/s?. Calculate the velocity and acceleration of the airplane at this instant. r()

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3. The radar tracking an airplane gives the coordinates of
the plane as r(t) and 0(t). At some instant of time, 0 =
40° and r = 6400 ft. From successive measurement of
r and 0, the first derivatives at this instant are estimated
as r=312 ft/s, è=0.039 rad/s², and the second derivative,
f=9.67 ft/s², ö= 0.003807 rad/s². Calculate the velocity
and acceleration of the airplane at this instant.
Transcribed Image Text:3. The radar tracking an airplane gives the coordinates of the plane as r(t) and 0(t). At some instant of time, 0 = 40° and r = 6400 ft. From successive measurement of r and 0, the first derivatives at this instant are estimated as r=312 ft/s, è=0.039 rad/s², and the second derivative, f=9.67 ft/s², ö= 0.003807 rad/s². Calculate the velocity and acceleration of the airplane at this instant.
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