A physicist places a detector on each side of an area to track its
movement and measure the speed at which a certain type of particle travels
through the area. The detectors are 20 meters apart, and v is the expected
speed of the particles. The measured speed for one particle is v - 0.5 meters per
second, and the speed for another particle is v+0.75 meters per second.
a. The time t required for a particle to move between the two detectors is
known as the time of flight. Write an expression for each particle's time of
flight.
b. Write an expression for the difference in time of flight for the two particles.
Simplify this expression.
C. The physicist analyzes data from an experiment, looking for a particle that
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has a time of flight of seconds. What speed should the physicist look fo
V
in the data? Round your answer to the nearest tenth.
