Edexcel IAL Mathematics M2.1.1 vertical motion with constant acceleration

Practise vertical motion under constant acceleration, finding speeds, times and heights for particles moving under gravity or a given acceleration.

Exam points

use suvat with signs to find launch speed, impact speed or total flight time
solve vertical height equations to find when a particle is above a given point
sketch speed-time graphs with correct turning point and labelled speeds

[Maximum number: 5]

Find the exact value of k

Hemisphere / Cone

$\begin{aligned} \frac{2}{3}\times\frac{3}{8}r &= \frac{k}{3}\times\frac{1}{4}kr,\\ k^2&=3,\quad k=\sqrt{3}. \end{aligned}$
M1: Form a dimensionally correct moments equation with the correct value for $\bar{X}$ .
A1ft: Correct equation, follow through their masses and distances; signs correct.

\begin{array}{lll} \text{Mass} & \frac{2}{3}\pi r^3 & \frac{1}{3}\pi k r^3\\ \text{Distance of centre of mass from centre of common plane} & \frac{3}{8}r & \frac{1}{4}kr \end{array}

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M2.1.1 - Motion in a vertical plane with constant acceleration, e question 1