At 2:40 AM, a UFO was spotted over Anyville, USA. Reports said that during this

Question

At 2:40 AM, a UFO was spotted over Anyville, USA. Reports said that during this time, the UFO hovered

above the city, not moving at all. Then at exactly 2:45 AM, the UFO began to move due east with a constant

acceleration. At 3:15 AM that same day, residents of Bordertown, USA saw the same craft zipping past them.

If Bordertown is exactly 160 miles away from Anyville (and in the same time zone), how fast was the UFO

traveling the moment it passed over Bordertown? In your work, express distance in miles and time in hours.

You must also use techniques of antidifferentiation to get your answer. Show work

Explanation / Answer

From the well known equation d=ut+1/2*at^2, we substitute for d=160miles, u=0 miles/hr and t=1/2hr to get the acceleration as 160*8. by differentiating this equation we get v= u+at which means v= 160*4= 640miles/ hr.

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