Edexcel IGCSE Physics 1.10 Final speed equation

Practise using v^2 = u^2 + 2as to find speed, distance or acceleration in vertical motion, braking and take-off calculations.

Exam points

substitute u, v, a and s into v^2 = u^2 + 2as and rearrange for the unknown
use v = 0 at maximum height or final rest when modelling upward motion or braking
apply sign and unit checks for g, distance and speed before rounding to the required figures

[Maximum number: 4]

A student stretches a rubber band.

The student stretches the rubber band and then releases it. The band moves vertically upwards.

The band travels with an initial speed of 13 m/s.

When the band reaches its maximum height above the student's hand, the band has a speed of 0 m/s.

Calculate the maximum height that the band reaches.
Give your answer to 2 significant figures.

height = ............ m

Marking points:
- substitution into the given equation $v^{2}=u^{2}+2as$
- rearrangement
- evaluation
- answer to 2 significant figures

Example:
$0^{2}=13^{2}+(2\times-10\times s)$ $\text{height}=\frac{169}{20}$ $\text{height}=8.45\ \mathrm{m}$ $\text{height}=8.5\ \mathrm{m}$

Accept:
- $mgh=\frac12mv^{2}$

Ignore:
- sign

Marking guidance:
- Answer to 2 significant figures is an independent mark.

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1.10 Final speed equation question 1