A Stream of Water Moving at the Rate Of $v$ Feet Per Second Can Carry Particles of Size

Multiple Choice

A stream of water moving at the rate of $v$ feet per second can carry particles of size $0.39 \sqrt { v }$ inches. Find the particle size (in inches) that can be carried by a stream flowing at the rate of $\frac { 3 } { 4 }$ foot per second. Round your answer to two decimal places.

A) 0.29 $\text { inch }$
B) 0.34 $\text { inch }$
C) 0.62 $\text { inch }$
D) 0.87 $\text { inch }$
E) 0.47 $\text { inch }$