Kinematics Question 621
Question: A projectile is thrown at an angle of $ 40{}^\circ $ with the horizontal and it’s range it’s $ R _{1} $ . Another projectile is thrown at an angle $ 40{}^\circ $ with the vertical and it’s range it’s $ R _{2} $ . What is the relation between $ R _{1} $ and $ R _{2} $ ?
Options:
A) $ R _{1}=R _{2} $
B)$ R _{1}=2R _{2} $
C) $ 2R _{1}=R _{2} $
D)$ R _{1}=4R _{2}/5 $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] R it’s same for both $ \theta $ and $ (90{}^\circ -\theta ). $
If angle w.r.t. Vertical it’s $ 40{}^\circ $ then w.r.t horizontal direction it will be $ 90{}^\circ -40{}^\circ =50{}^\circ $ .
