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 27s. It then travels 1400m in 50s, 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.
14.4 s
how?
i got 13.2 :/
To find the time it took for the car to travel the last 360m, we need to use the average speed and the formula for speed, which is distance divided by time.
First, let's find the total distance traveled by the car between the sensors. The car traveled 740m + 1400m + 360m = 2500m.
Now, let's use the formula for speed to find the total time taken:
speed = distance / time
27.2 m/s = 2500m / total time
To find the total time, we need to rearrange the equation:
total time = distance / speed
total time = 2500m / 27.2 m/s
Calculating this, we find:
total time = 91.91 seconds.
Since the car traveled for 27 seconds initially, then 50 seconds, the time taken for the last 360m can be found by subtracting these times from the total time:
time taken for last 360m = total time - time taken initially - time taken between the first and second sensors
time taken for last 360m = 91.91s - 27s - 50s
time taken for last 360m = 14.91 seconds.
Thus, the time it took for the car to travel the last 360m is approximately 14.91 seconds.
To calculate the time it took for the car to travel the last 360m, we can use the average speed formula:
Average speed = total distance / total time
We know the average speed is given as 27.2 m/s and the total distance is the sum of the distances traveled between the sensors, which is 740m + 1400m + 360m = 2500m.
Let's calculate the total time:
27.2 m/s = 2500m / total time
Rearranging the equation to solve for total time:
total time = 2500m / 27.2 m/s
Calculating the total time:
total time = 91.9117647s
Therefore, the time it took for the car to travel the last 360m is approximately 91.912 seconds (rounded to three significant figures).