Physics

Problem

A particle is moving along the

x

-axis with its coordinate with time

t

given by

x(t) = 10 + 8t - 3t^2

. Another particle is moving along the

y

-axis with its coordinate as a function of time given by

y(t) = 5 - 8t^3

. At

t = 1

s, the speed of the second particle as measured in the frame of the first particle is given as

\sqrt{v}

. Then

v

(in

\text{m/s}

) is ____