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The head of SPECTRE has devised a fiendish plot to liquidate his mortal enemy 00

ID: 1329879 • Letter: T

Question

The head of SPECTRE has devised a fiendish plot to liquidate his mortal enemy 007; he will cause a toxic rain to fall on the deserted valley where the intelligence agent 56 Special relativity agent is staying with a companion. Fortunately Mr. Bond's latest bag of tricks contains an umbrella. the rain falls at a speed of 10 m/sec, at what angle with the vertical must 007 hold the umbrella to stay dry as he and his companion run at a speed of 10 miles/hr to catch the next bus out of the deserted valley? A star in the sky is observed from earth to describe an elliptical path whose minor axis subtends an angle of 36". What angle docs the star make with the ecliptic?

Explanation / Answer

Velocity of Rain = - 10m/s j^
Velocity of man = 10 miles /hr = 4.47 m/s i^

To stay dry they have to tilt umbrea by angle, "a" degrees with reference to the vericle direction.
Value of the angle "a" is calculated below -

a = tan^-1(4.47/10)
a = 24.08o

They must hold the umbrella at angle relative to vertical , a = 24.08o

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