# Consider a mobile moving along this path that starts at the point #(0,0)#. What are the coordinates of the point of arrival of the mobile ? (See image below)

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A "Suits and Series" problem.

A "Suits and Series" problem.

##### 1 Answer

#### Answer:

Point of arrival is:

#### Explanation:

In the x-direction, defined as horizontal direction with positive direction being left to right:

This is an alternating geometric series.

The sum to infinity for a geometric series with

#S_oo = a/(1 - r)#

In the y-direction, defined as vertical direction with upward positive:

With the same reasoning:

Point of arrival is: