Question

to reach city a, you travel north for 2.00 hours covering 80.0 miles. you then turn due east and travel 45.0 minutes for another 20.0 miles to reach your destination. on the first leg of your trip (traveling north), what is your speed?
○ 80.0 mph
○ 40.0 mph
○ 0 mph
○ 80 mph

Explanation:

Step1: Recall the formula for speed

The formula for speed \( v \) is \( v=\frac{d}{t} \), where \( d \) is the distance traveled and \( t \) is the time taken.

Step2: Identify the values for the first leg

For the first leg (traveling north), the distance \( d = 80.0\) miles and the time \( t=2.00\) hours.

Step3: Calculate the speed

Substitute the values into the formula: \( v=\frac{80.0\ \text{miles}}{2.00\ \text{hours}} = 40.0\ \text{mph}\)

Answer:

40.0 mph (corresponding to the option "40.0 mph")