(Solved): The basic principle of ultrasound imaging works by measuring the time of flight required for a soun ...

The basic principle of ultrasound imaging works by measuring the time of flight required for a sound pulse to travel from the transducer, bounce off a surface, and return back to the transducer again, as shown below: Therefore, the distance between the transducer and object causing the echo can be calculated as: $d=\frac{1}{2}ct$ The speed of sound in soft tissues can range from $1450\mathrm{m}/\mathrm{s}$ in fat to $1580\mathrm{m}/\mathrm{s}$ in muscle. Therefore the average speed of $1540\pm 30\mathrm{m}/\mathrm{s}$ is often used . Suppose the clock used to track time-of-flight has a resolution of $\pm 1.5?$ s. What is the approximate distance $d$ if the time was estimated to be $t=13?\mathrm{s}$ ?