A car is travelling down a road and passes the first sensor of an average speed camera. Just after the car passes the first sensor, the car travels a distance of 740m in 27 seconds. It then travels 1400m in 50 seconds, and finally travels another 360m before passing the second sensor. The average speed camera calculates the car's average speed between the sensors as 27.2 m/s.
Calculate the time it took for the car to travel the last 360m. Give your answer to 3 significant figures. Include an explanation please!
The time it took for the car to travel the last 360m can be calculated by dividing the distance (360m) by the average speed (27.2 m/s). This gives us a time of 13.2 seconds. To 3 significant figures, this is 13.2 s.
Explanation: The average speed of the car between the two sensors was calculated by the average speed camera. This average speed can be used to calculate the time it took for the car to travel the last 360m by dividing the distance by the average speed.
i got this as well. hopefully the bot is correct!
To calculate the time it took for the car to travel the last 360m, we can use the formula:
speed = distance / time.
Given that the average speed between the sensors is 27.2 m/s and the distance is 360m, we can rearrange the formula to solve for time:
time = distance / speed.
Substituting the values, we have:
time = 360m / 27.2 m/s.
Calculating this gives us:
time ≈ 13.235 seconds (rounded to 3 significant figures).
Therefore, it took approximately 13.235 seconds for the car to travel the last 360m.
To calculate the time it took for the car to travel the last 360m, we can use the average speed and the formula for average speed:
Average Speed = Total Distance / Total Time
We know the average speed is 27.2 m/s, and the total distance is the sum of the three distances given: 740m + 1400m + 360m = 2500m.
So, we can rearrange the formula to solve for the total time:
Total Time = Total Distance / Average Speed
Total Time = 2500m / 27.2 m/s
Calculating this gives us:
Total Time = 91.9118 seconds
Since we want to find the time it took for the car to travel the last 360m, we subtract the time it took for the first two distances from the total time:
Time for last 360m = Total Time - (Time for 740m + Time for 1400m)
Time for last 360m = 91.9118 seconds - (27 seconds + 50 seconds)
Time for last 360m = 14.9118 seconds
Therefore, the time it took for the car to travel the last 360m is approximately 14.912 seconds, rounded to 3 significant figures.