Q.

A projectile is fired with velocity v at angle of θ with horizontal. Find the radius of curvature of path at highest point.

1 v2cos2θg  
2 v2gcosθ  
3 v2cosθg  
4 v2cos2θ2g  

Ans.

(1)

Rate of change of speed is minimum at highest point. Since at highest position.

R=(vcosθ)2g