Kinematics Question 693

Question: Galileo writes that for angles of projection of a projectile at angles $ (45+\theta ) $ and $ (45-\theta ) $ , the horizontal ranges described by the projectile are in the ratio of (if $ \theta \le 45) $

Options:

A) 2 : 1

B) 1 : 2

C) 1 : 1

D) 2 : 3

Show Answer

Answer:

Correct Answer: C

Solution:

[c] For angle $ (45{}^\circ -\theta ) $ , $ R=\frac{u^{2}\sin (90{}^\circ -2\theta )}{g}=\frac{u^{2}\cos 2\theta }{g} $

For angle $ (45{}^\circ +\theta ) $ , $ R=\frac{u^{2}\sin (90{}^\circ +2\theta )}{g}=\frac{u^{2}\cos 2\theta }{g} $



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