Posted by **Annie** on Sunday, March 17, 2013 at 10:17pm.

A roller coaster cart travelling due north at 20m/s that turns left during an interval of 4.0s without changing speed. Find the average acceleration.

I understand the mathematics behind it (using pythagoras's theorem to find velocity and the formula acceleration = velocity/time) BUT I don't understand how to find the direction.

The answer in my text book says south west, but intuitively that just doesn't make sense if you draw out the path taken. Can anyone explain how the direction is south west?

- Physics -
**Henry **, Monday, March 18, 2013 at 4:41pm
Draw a vector from the origin pointing

due north. Then draw a vector from the

origin pointing due west. Since the 2 vectors are equal, the resultant vector

will fall midway between them(135o or

North West). Mathematically:

tanAr = Y/X = 20/-20 = -1.0

Ar = -45o = Reference angle.

A = -45 + 180 = 135o, North West.

If we change the North bound vector to due South, then the direction would

be South West.

## Answer this Question

## Related Questions

- physics - A roller coaster of mass 1000.0 kg passes point A with a speed of 1.80...
- PHYSICS - A roller coaster powered by a spring launcher follows a frictionless ...
- Physics 1 - Consider a roller coaster that moves along the track shown in the ...
- Repost-Physics 1 - Consider a roller coaster that moves along the track shown in...
- PHYSICS - A roller coaster powered by a spring launcher follows a frictionless ...
- Science - A roller coaster is moving at 10 m/s at the top of a hill and 22 m/s ...
- Physics - we are doing a really dumb websearch in my Physics class on roller ...
- physics - You are enjoying a day at the amusement park, riding a roller coaster...
- Physics - At one instant a bicyclist is 40 m due east of a park's flagpole, ...
- Physics - A cart has a constant acceleration of a = 2m/s2. At a certain instant ...

More Related Questions