Question

A projectile is fired horizontally from the top of an inclined plane (of inclination ${45}^{\circ }$ with horizontally ) with speed $=50m/s$. If $g=10m/s^2$ the range measured along the incline is

• A. $500m$
• B. $500\sqrt{2}m$
• C. $200\sqrt{2}m$
• D. none of these

Answer 1

Answer: (B)

$500\sqrt{2}m$

$T=\frac{2u}{a}=\frac{2\times 25\sqrt{2}}{5\sqrt{2}}=10s$

$R=\left(25\sqrt{2}\right)\left(10\right)+\frac{1}{2}\left(5\sqrt{2}\right)(10{)}^2=500\sqrt{2}m$