GSO001 Problem 1
Problem Statement
Distance Traveled by a Train Moving at Constant Speed
Problem Statement
A train is traveling along a horizontal, straight track at a constant speed v. Let the direction of travel be the positive direction of the x-axis. Find the distance d that the train travels in the positive x-direction during time t.
Constraints
- v=45 m/s
- t=160 s
Input Format
Find the value of d and give the answer as a positive integer.
Solution
This problem can be solved by applying the most basic formula for uniform linear motion.
1. Formula
In uniform linear motion, the following relationship holds between speed v, time t, and distance d:
d=v×t2. Substituting Values
Substituting the given constraint values into the formula:
- v=45 m/s
- t=160 s
3. Calculation
d=7200 mTherefore, the distance traveled is 7200 m.
Answer: 7200