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Q.

A body is projected at time t=0 from a certain point on a planet's surface with a certain velocity at a certain angle with the planet's surface (assumed horizontal). The horizontal and vertical displacements x and y (in metre) respectively vary with time t in second as,x=(103)t and y=10t-t2. The maximum height attained by the body is

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a

75 m

b

100 m

c

50 m

d

25 m

answer is D.

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Detailed Solution

For maximum height, i.e., maximum value of y

dydt=10-2t=0   t=5 s Hence,  ymax=(10)(5)-(5)2=25 m

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A body is projected at time t=0 from a certain point on a planet's surface with a certain velocity at a certain angle with the planet's surface (assumed horizontal). The horizontal and vertical displacements x and y (in metre) respectively vary with time t in second as,x=(103)t and y=10t-t2. The maximum height attained by the body is