Question

The location of an object on the x-axis at time t seconds is given by x(t)= a + mt, where a, m are constants.

(a) Where is the object located at time t=1?

x(1)= a+m(1) = a+m

(b) What is the average velocity of the object between 1 and 2 seconds?

x(2)-x(1)/(2-1)

a+2m-(a+m)=m

(c) What is the instantaneous velocity of the object at time t=1?

x(1+h)-x(1)/h

a+m+mh-(a+m)/h = m

am I doing this right?? I keep on getting m's as the answer.

Answer 1

Yes, you are doing it right. The equation
x = a + m t implies that the velocity never changes. That is why you keep getting m for an answer in (b) and (c).