If a car travels 150 km with a time measurement of 2.5 hours, what is the speed

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Question: If a car travels 150 km with a time measurement of 2.5 hours, what is the speed with an uncertainty of ±0.1 hours?

Options:

Correct Answer: 60 km/h

Solution:

Speed = Distance / Time = 150 km / 2.5 h = 60 km/h.

If a car travels 150 km with a time measurement of 2.5 hours, what is the speed with an uncertainty of ±0.1 hours?

If a car travels 150 km with a time measurement of 2.5 hours, what is the speed with an uncertainty of ±0.1 hours?

Step 1: Identify the distance traveled by the car, which is 150 kilometers.
Step 2: Identify the time taken for the journey, which is 2.5 hours.
Step 3: Use the formula for speed, which is Speed = Distance / Time.
Step 4: Plug in the values: Speed = 150 km / 2.5 h.
Step 5: Calculate the speed: 150 divided by 2.5 equals 60 km/h.
Step 6: Consider the uncertainty in time, which is ±0.1 hours.
Step 7: Calculate the speed with the minimum time (2.5 - 0.1 = 2.4 hours): Speed = 150 km / 2.4 h = 62.5 km/h.
Step 8: Calculate the speed with the maximum time (2.5 + 0.1 = 2.6 hours): Speed = 150 km / 2.6 h = 57.7 km/h.
Step 9: The speed is 60 km/h with an uncertainty range from 57.7 km/h to 62.5 km/h.

Speed Calculation – The formula for speed is derived from the relationship between distance and time, where speed equals distance divided by time.
Uncertainty in Measurements – Understanding how to account for uncertainties in time measurements when calculating derived quantities like speed.