ExamBro
ExamBro
AP EAMCET · PHYSICS · Motion In Two Dimensions

In the projectile motion of an object, the object reaches its maximum height where its speed is half of initial speed. Then the ratio between range and maximum height of projectile is

  1. A \(4 \sqrt{3}\)
  2. B \(\frac{\sqrt{3}}{4}\)
  3. C \(\frac{4}{\sqrt{3}}\)
  4. D \(\frac{2}{\sqrt{3}}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{4}{\sqrt{3}}\)

Step-by-step Solution

Detailed explanation

At maximum height, speed of projectile will be \(u \cos \theta\) Now, given \(u \cos \theta=\frac{1}{2} u \Rightarrow \cos \theta=\frac{1}{2}\) or \(\theta=60^{\circ}\) Now, ratio of range and maximum height of projectile is…