$4\mathrm{.}2\mathrm{.}24$ WP A fluid flows past a sphere with an upstream velocity of

$V_0=40\frac{m}{s}$ as shown in Fig. P$4\mathrm{.}2\mathrm{.}24.$ From a more advanced theory

it is found that the speed of the fluid along the front part of the sphere

is $V=\frac{3}{2}{V}_{0}sin.$ Determine the streamwise and normal components

of acceleration at point $A$ if the radius of the sphere is $a=0\mathrm{.}20m.$