Question

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 measured in minutes for Ost≤100. If y=x(t) is a
linear function, which of the following would most likel
give the best estimate of the speed of the particle, in
inches per minute, at time t=20 minutes?

Answer 1

The slope of the graph of y=x(t)

Explanation:

The speed's equation is the derivative of the position.Positiony = x(t)Linear function.Soy = ax(t)In which a is the slopeThe derivative of y is:y = aWhich is the slopeThis means that the speed of the particle is constant.So the answer is:The slope of the graph of y=x(t)