(b) At time t=0 a UFO is spotted at coordinates (5, 10) (units of km) flying at 500 km/h in a straight line parallel with the x axis from right to left. At the same time, a jet at the origin (0, 0) flying at 1500 km/h turns to intercept the UFO. What heading, L.e. angle with the y-axis measured clockwise, must the jet take to intercept the UFO in the shortest time and what is the distan travelled by the jet to the intercept point?
(b) At time t=0 a UFO is spotted at coordinates (5, 10) (units of km) flying at 500 km/h in a straight line parallel with the x axis from right to left. At the same time, a jet at the origin (0, 0) flying at 1500 km/h turns to intercept the UFO. What heading, L.e. angle with the y-axis measured clockwise, must the jet take to intercept the UFO in the shortest time and what is the distan travelled by the jet to the intercept point?
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Transcribed Image Text:(b)
At time t= 0 a UFO is spotted at coordinates (5, 10) (units of km) flying at 500
km/h in a straight line parallel with the x axis from right to left. At the same
time, a jet at the origin (0, 0) flying at 1500 km/h turns to intercept the UFO.
What heading, i.e. angle with the y-axis measured clockwise, must t
take to intercept the UFO in the shortest time and what is the distan
st the jet
travelled by the jet to the intercept point?
Transcribed Image Text:(a)
Experiments show that the velocity of water flowing through porous rock
proportional to the pressure gradient (the rate of change of pressure with
distance). Deduce that the units of the constant of proportionality are m'sk
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