You are mindlessly piloting your F-14 Tomcat home from a mission, cruising along

Question

You are mindlessly piloting your F-14 Tomcat home from a mission, cruising along at subsonic speed along a horizontal straight path. Suddenly a giant missile locks onto your plane; it travels at a constant speed of 500 mph along a sinusoidal path with the peak-to-peak amplitude 220.0 ft and period 1000.0 ft. The missle is currently directly above you and at the crest of its motion. Unless you take evasive maneuvers, it will impact you after your plane travels another 196 ft. You have a fraction of a second to spool the missile's would-be impact velocity vmiss into your anti-missile module so it can initiate the appropriate defensive maneuvers. Go!

1) What is the x component of the velocity vector vmiss?

2) What is the y component of the velocity vector vmiss?

Explanation / Answer

the sinosoudal path would be y=110sin(pie*x/500 ) so at x= 304ft y= 103.7 ft so angle = tan^-1(196/103.7) = 62 degree Vx = 500sin62= 441.47 mph Vy= 500cos62= 234.73 mph

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