{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

04Rectilinear Motion

# 04Rectilinear Motion - RECTILINEAR MOTION Velocity and...

This preview shows pages 1–2. Sign up to view the full content.

R ECTILINEAR M OTION Velocity and Acceleration Calculus is most useful when we apply meanings of the derivative other than just the slope of a tangent to a curve. If we have an object moving along a straight line we call this motion rectilinear motion. To model this, we consider a horizontal line with distances to right of the origin as positive and distances to the left of the origin as negative. 0 - ç ===== ==== è + Let f be a function that relates the distance s from 0 and time t , and then we can write ) ( t f s = , where s (displacement) could be the number of meters travelled from 0 in t seconds. ime change ce s changeindi velocity int tan = Eg . If you drive 30 km in 20 min, your velocity over the 30km is h km hr km km / 90 3 / 1 30 min 20 30 = = Of course, this is average velocity, you probably weren’t going 90km/h the whole time. We are more interested in instantaneous velocity . So, to define the velocity of an object at a time 0 t to t t + 0 and let 0 t . Then if the distance travelled by time 0 t is ) ( 0 t f

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern