Question

A particle is projected upwards an initial speed $u$ making an angle $\theta$ with the horizontal. The radius of curvature of the curve at the instant when the particle strikes the ground is

• A. $\frac{u^2{\cos }^2\theta }{g}$
• B. $\frac{u^2{\sin }^2\theta }{g}$
• C. $\frac{u^2}{g{\sin }^2\theta }$
• D. $\frac{u^2}{g{\cos }^2\theta }$

Answer 1

The correct option is C $\frac{u^2}{g{\sin }^2\theta }$

Radius of Curvature = $\frac{Vnet}{\theta prop}=\frac{u^2}{g{\sin }^2\theta }$