moving right ==> distance increasing
x increasing ==> dx/dt > 0
Now see what you can do with the questions. There are lots of online graphing web sites that you can use to confirm your graph ideas. (desmos, wolframalpha, ...)
an object is moving along the x-axis such that the position of the object in masters at time t in seconds is giving by the function x(t)=t^3-12t^2+36t-5, for 0<=t<=8
a- when is the object moving right? and when to the left?
b- When is the object's velocity both positive and increasing
c- When is the object's velocity both negative and decreasing
d- You may notice the object starts 5m from the origin, but when is it furthest from the origin?
e- It can be shown that x(t)>0 when 0<=t<=8. When is the object closet to the origin?
f-Sketch a graph of x(t)
1 answer