Standard +0.3 This is a straightforward projectile motion problem requiring resolution of velocity components and use of the standard kinematic equations. Students need to find horizontal velocity (constant), use the angle condition to find vertical velocity, then combine using Pythagoras. It's slightly above average difficulty due to the angle condition rather than asking for speed at a specific time or height, but remains a standard M2 exercise with no novel insight required.
1 A small ball \(B\) is projected with speed \(38 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of \(30 ^ { \circ }\) to the horizontal from a point on horizontal ground. Find the speed of \(B\) when the path of \(B\) makes an angle of \(20 ^ { \circ }\) above the horizontal.
1 A small ball $B$ is projected with speed $38 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ at an angle of $30 ^ { \circ }$ to the horizontal from a point on horizontal ground. Find the speed of $B$ when the path of $B$ makes an angle of $20 ^ { \circ }$ above the horizontal.\\
\hfill \mbox{\textit{CAIE M2 2018 Q1 [3]}}