Q.

A ball is thrown at different angles with the same speed u and from the same point and it has the same range in both the cases. If y1 and y2 are the heights attained in the two cases, then y1 + y2 is equal to

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a

u2g

b

2u2mg

c

u22g

d

u24g

answer is C.

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Detailed Solution

y1=u2sin2⁡θ2g,y2=u2sin2⁡90∘−θ2g=u2cos2⁡θ2g ⇒ y1+y2=u22g
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A ball is thrown at different angles with the same speed u and from the same point and it has the same range in both the cases. If y1 and y2 are the heights attained in the two cases, then y1 + y2 is equal to