Question

Two identical balls P and Q are projected with same speeds in vertical plane from same point O with making projection angles with horizontal $30^{\circ}$ and $60^{\circ}$ respectively and they fall directly on plane AB at points P' and Q' respectively. Which of the following statement is true about distances as given in options?

• A. As there are complimentary projection angles
• B. AP' > AQ'
• C. AP' < AQ'
• D. AP' $\le$ AQ'

Answer 1

Answer: (B)

AP' > AQ'

Answer 2

Given,
Projection angle of ball $P=30^{\circ}$.
Projection angle of ball $Q=60^{\circ}$
According to the question,

For complimentary angles ranges, $ON$ is same for $P$ and $Q$ as $O$ and $N$ are on same horizontal plane.
From figure $A P'>\,A Q'$