Question

A projectile is thrown into space so as to have maximum horizontal range R. Taking the point of projection as origin, the coordinates of the points 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

R_max = $\frac { u ^ { 2 } } { g }$ and when R is max, then

H = $\frac { \mathrm { u } ^ { 2 } \sin ^ { 2 } 45 ^ { \circ } } { 2 \mathrm {~g} }$ = $\frac { u ^ { 2 } } { 4 g }$ = $\frac { \mathrm { R } _ { \max } } { 4 }$