Magnitude and Direction of Force Quick Check

Question

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Question
A passenger on a train records a time of 2 minutes for the train to travel 5.2 kilometers along a straight section of track. Which is the train’s average speed in kilometers per hour?(1 point)
Responses

23
23

0.38
0.38

2.6
2.6

156

Answer 1

To calculate the train's average speed in kilometers per hour, you can use the formula:

\[ \text{Average Speed} = \frac{\text{Distance}}{\text{Time}} \]

First, convert the time from minutes to hours. Since there are 60 minutes in an hour, 2 minutes is:

\[ \frac{2 \text{ minutes}}{60 \text{ minutes/hour}} = \frac{1}{30} \text{ hours} \approx 0.0333 \text{ hours} \]

Now, plug in the values:

\[ \text{Distance} = 5.2 \text{ kilometers} \] \[ \text{Time} = \frac{1}{30} \text{ hours} \]

So the average speed is:

\[ \text{Average Speed} = \frac{5.2 \text{ km}}{\frac{1}{30} \text{ hours}} = 5.2 \text{ km} \times 30 = 156 \text{ km/hour} \]

Thus, the train's average speed is 156 kilometers per hour.