First slide

Scalars and Vectors

Question

A cyclist is moving on a circular path with constant speed v. What is the change in its velocity after it has described an angle of $30 °$ ?

Moderate

A

$v \sqrt{2}$
B

$\frac{v}{2}$
C

$v \sqrt{3}$
D

None of these

Solution

$| Δ v | = |v_{f} - v_{i}|$
$= \sqrt{v^{2} + v^{2} - 2 (v) (v) \cos 30 °}$
$= (\sqrt{2 - \sqrt{3}}) v$

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