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Batman in Problem

Batman in his Batmobile tries to jump a canyon of width 150 meter. To do so, he drives his Batmobile up an incline sloped at an initial angle of 15 degrees with distance 20 meter from the the beginning of the ramp . But with a twist that every second the ramp comes down with 1 degree. What minimum velocity( in meter/sec.) is necessary to clear the canyon? The ramp has a base of 5 meter. The height & hypotenuse changes dynamically with the change in angle remaining the ramp to be a right angled triangle.

* Note : There is no air or any other kind of frictional forces. There is no change in the velocity of the Batmobile till it launches from the end of the ramp.( Point P ) . Take the Batmobile as a point.Batman has to cover only the 150 meter no more no less. Consider the time taken to reach the ramp and the time taken to travel the distance of the hypotenuse of the ramp. *

Every second the ramp comes down with 1 degree that means in the 1st second the angle will become 14 degree & will remain 14 degree till the 2nd second.

Note by Sudipta Biswas
3 years, 1 month ago

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Does the decrease in the hypotenuse come from the end of the ramp or the beginning of the ramp? That is, does the distance batman travels on the ramp increase continuously or does it also decrease some amount each second? Bob Krueger · 3 years, 1 month ago

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@Bob Krueger Yes Pratham Pawar · 3 years, 1 month ago

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Why isn't this a problem? Please bro make it a problem! Siddharth Singh · 3 years, 1 month ago

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