Question

The co-ordinates of a moving particle at a t are given by, x 5 sin 10t, y=5 cos 10t, The
speed of the particle is:​

Answer 1

$x = 5 \sin(10t) \\ y = 5 \cos(10t )$

Now,

$\frac{dx}{dt} = v_{x} = 50 \cos(10t) \\ \frac{dy}{dt} = v_{y} = - 50 \sin(10t)$

So,

$v = \sqrt{ { v_{x} }^{2} + { v_{y}}^{2} } = 50 \: units$