Moderate -0.3 This is a straightforward SUVAT problem requiring students to set up two equations (s = ut - ½gt² at t=3 and t=4) and solve simultaneously for u and s. While it involves algebraic manipulation and understanding of vertical motion under gravity, it's a standard textbook exercise with no conceptual surprises—slightly easier than average due to its routine nature.
1 A particle is projected vertically upwards from horizontal ground with a speed of \(u \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The particle has height \(s \mathrm {~m}\) above the ground at times 3 seconds and 4 seconds after projection.
Find the value of \(u\) and the value of \(s\).
1 A particle is projected vertically upwards from horizontal ground with a speed of $u \mathrm {~m} \mathrm {~s} ^ { - 1 }$. The particle has height $s \mathrm {~m}$ above the ground at times 3 seconds and 4 seconds after projection.
Find the value of $u$ and the value of $s$.\\
\hfill \mbox{\textit{CAIE M1 2023 Q1 [3]}}