state gov BSSC Laboratory Assistant Mock Test Series 2025 Physics Motion in Two and Three Dimensions Projectile Motion
A projectile is launched from the origin at an angle of \(45^{\circ}\) with respect to the horizontal axis. At the peak of its trajectory (point P), determine the radial and transverse components of its acceleration, expressed in terms of gravitational acceleration g .
1
\(a_r=-\frac{2g}{\sqrt{5}}, a_{\theta}=-\frac{g}{\sqrt{5}}\)
2
\(a_r=-\frac{g}{\sqrt{5}}, a_{\theta}=-\frac{2g}{\sqrt{5}}\)
3
\(a_r=\frac{g}{\sqrt{5}}, a_{\theta}=\frac{2g}{\sqrt{5}}\)
4
\(a_r=\frac{2g}{\sqrt{5}}, a_{\theta}=\frac{g}{\sqrt{5}}\)