Moderate -0.8 This is a straightforward projectile motion problem requiring only basic SUVAT equations and simple trigonometry. Students need to recognize that tan(30°) = vertical displacement / horizontal displacement, use s = ut + ½at² for vertical motion, and s = vt for horizontal motion. The calculation is routine with no conceptual challenges beyond standard M1/M2 content.
1 A stone \(S\) is thrown horizontally from the top \(T\) of a high tower. At the instant 1.6 s after \(S\) is thrown, the line \(S T\) makes an angle of \(30 ^ { \circ }\) below the horizontal. Find the speed with which \(S\) is thrown. [3]
1 A stone $S$ is thrown horizontally from the top $T$ of a high tower. At the instant 1.6 s after $S$ is thrown, the line $S T$ makes an angle of $30 ^ { \circ }$ below the horizontal. Find the speed with which $S$ is thrown. [3]
\hfill \mbox{\textit{CAIE M2 2016 Q1 [3]}}