Question

Two bodies are projected with the same, initial velocity such that they have the same range. Heights attained by the bodies are 50 m and 32 m. Find the range.

• A. 120 m
• B. 140 m
• C. 160 m
• D. 180 m

Answer 1

The correct option is C 160 m

$H_1=32=\frac{u^{2}si{n}^2\theta }{2g}{H}_2=50=\frac{u^{2}si{n}^2\theta }{2g}\therefore \frac{sin\theta }{cos\theta }=4/5\Rightarrow sin\theta =\frac{4}{\sqrt{41}}andcos\theta =\frac{5}{\sqrt{41}}and\frac{u^2}{g}=164\therefore R=\frac{2u^{2}sin\theta cos\theta }{g}=160m$