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} $
