JEE Advanced Mathematics question
Not in JEE syllabus
A rocket of height metres is fired vertically upwards. Its velocity at time seconds is metres/second. If the angle of elevation of the top of the rocket from a point on the ground after 1 second of firing is and after 3 seconds it is then the distance of the point from the rocket is
Answer: (B)
Solution
Let be the distance the rocket has risen after seconds. From and ,
x(t) = + 3t.
So and . The top of the rocket is then at heights and . Let be the horizontal distance of the observation point from the (vertical) line of the
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