Question

find the average speed and average velocity for an object that travels 176 miles north in 2 hours.

Explanation:

Step1: Calculate average speed

Average speed formula: \(v = \frac{d}{t}\), where \(d = 176\) miles (distance) and \(t=2\) hours (time).
\(v=\frac{176}{2}=88\) miles per hour.

Step2: Calculate average velocity

Average velocity formula: \(\vec{v}=\frac{\vec{d}}{t}\). Since the object moves in a straight - line (north direction) and displacement \(\vec{d}\) magnitude is equal to distance \(d = 176\) miles (direction is north), \(t = 2\) hours.
\(\vec{v}=\frac{176}{2}=88\) miles per hour north.

Answer:

Average speed is \(88\) miles per hour. Average velocity is \(88\) miles per hour north.