The position of a particle moving to the right on the x-axis is given by x(t), where x(t) is measured in inches and t is measure d in minutes for 0≤t≤100. If y=x(t) is a linear function, which of the following would most likely give the best estimate of the speed of the particle, in inches per minute, at time t=20 minutes?
A. x(20)x(20)
B. x(20)20x(20)20
C. x(21)−x(19)x(21)−x(19)
The slope of the graph of y=x(t)
2 answers:
Answer:
No options
Step-by-step explanation:
Knowing that V=in/min = x(t)/t and according to the graph,
V=20in/20min=in/min, so
No options since speed is not inches per minute, spedd (V) = inches over minutes
Answer:
The slope of the graph of y=x(t)
Step-by-step explanation:
The speed's equation is the derivative of the position.
Position
y = x(t)
Linear function.
So
y = ax(t)
In which a is the slope
The derivative of y is:
y = a
Which is the slope
This means that the speed of the particle is constant.
So the answer is:
The slope of the graph of y=x(t)
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