The instantaneous velocity of the particle is 0.600 m/s. Instantaneous velocity is the velocity of an object at any given time in its path.
FURTHER EXPLANATION
The instantaneous velocity of an object can be determined graphically in a position - time graph.
- If the velocity of the object is constant, the graph in a position - time graph will be a straight line and the instantaneous velocity will be equal to the slope or gradient of the line.
- If the velocity of the object is changing, the graph will be a curve and the instantaneous velocity can be determined from the slope of the curved line at any given moment.
To get the slope of a line, get the ratio of the rise and the run.
In the given problem, the velocity of the object is constant because its position - time graph shows a straight line. As such, the instantaneous velocity will be equal to the average velocity.
To solve for the average velocity, use the equation below:
\(average \ velocity \ = \frac{displacement \ ( \Delta y)}{ time \ (\Delta x)}\)
Using data from the graph,
\(average \ velocity \ = \frac{40\ m - 10 \ m}{50 \ s \ - 0 \ s} \\average \ velocity \ = \frac{30 \ m}{50 \ s}\\ \\ \boxed {average \ velocity = 0.6 \frac{m}{s}}\\\)
The instantaneous velocity expressed with 3 significant figures like the given in the problem, therefore, is 0.600 m/s.
LEARN MORE
- Position - Time Graph https://brainly.com/question/11533012
- Acceleration https://brainly.com/question/4134594
- Velocity - Time Graph https://brainly.com/question/4710544
Keywords: instantaneous velocity, position - time graph
