What distance can you typically cover in 3 seconds when driving at a speed of 100 km/h?

What distance can you typically cover in 3 seconds when driving at a speed of 100 km/h?

• A. 30 metres.
• B. 60 metres.
• C. 90 metres.
• D. 120 metres.

Answer: (B)

To determine the distance covered in 3 seconds while driving at a speed of 100 km/h, it's essential to first convert the speed from kilometers per hour to meters per second. This conversion is necessary because the distance we want to find is measured in meters, and the time is measured in seconds. To convert kilometers per hour to meters per second, you can use the conversion factor: 1 km/h is approximately equal to \( \frac{1000 \text{ meters}}{3600 \text{ seconds}} \), which simplifies to \( \frac{1}{3.6} \) meters per second. Thus, to convert 100 km/h to meters per second: \[ 100 \text{ km/h} \times \frac{1000 \text{ meters}}{3600 \text{ seconds}} \approx 27.78 \text{ meters per second}. \] Next, to find the distance covered in 3 seconds, you multiply the speed in meters per second by the time in seconds: \[ 27.78 \text{ m/s} \times 3 \text{ seconds} \approx 83.34 \text{ meters}. \] However, it's helpful to simplify this further.

To determine the distance covered in 3 seconds while driving at a speed of 100 km/h, it's essential to first convert the speed from kilometers per hour to meters per second. This conversion is necessary because the distance we want to find is measured in meters, and the time is measured in seconds.

To convert kilometers per hour to meters per second, you can use the conversion factor: 1 km/h is approximately equal to ( \frac{1000 \text{ meters}}{3600 \text{ seconds}} ), which simplifies to ( \frac{1}{3.6} ) meters per second.

Thus, to convert 100 km/h to meters per second:

[

100 \text{ km/h} \times \frac{1000 \text{ meters}}{3600 \text{ seconds}} \approx 27.78 \text{ meters per second}.

]

Next, to find the distance covered in 3 seconds, you multiply the speed in meters per second by the time in seconds:

[

27.78 \text{ m/s} \times 3 \text{ seconds} \approx 83.34 \text{ meters}.

]

However, it's helpful to simplify this further.