Question

A projectile is thrown into space so as to have maximum horizontal range R. Taking the point of projection as origin, the co-ordinates of the point where the speed of the particle is minimum are

• A. (R, R)
• B. $\left( R,\frac{R}{2} \right)$
• C. $\left( \frac{R}{2},\frac{R}{4} \right)$
• D. $\left( R,\frac{R}{4} \right)$

Answer 1

Answer: (C)

$\left( \frac{R}{2},\frac{R}{4} \right)$

Answer 2

For maximum horizontal Range $\theta = 45{^\circ}$

From $R = 4H\cot\theta$= 4H [As θ = 45^o, for maximum range.]

Speed of the particle will be minimum at the highest point of parabola.

So the co-ordinate of the highest point will be (R/2, R/4)