# Question: nasa is modeling the 1d straight line motion of a...

###### Question details

NASA is modeling the 1-D straight line motion of a rocket sled
which will start at rest and provide a constant acceleration of a =
200 m/s^{2} for a time of 3 seconds. They want construct a
simple, but accurate, data table with the following equations:
v_{i+1} = v_{i} + a t and x_{i+1} =
x_{i} + v_{i} t which are familiar to you. NASA
plans to make the constant time interval between rows in their
table sufficiently small so that they have only a 3 percent error
in the total distance traveled by the sled during the 3 seconds.
How many rows N should be in their data table to cover the entire
time interval and achieve the desired error?