A vehicle is travelling 1.0 x 102 km/h. What is the speed of the vehicle in metres per second?
The speed of the vehicle in metres per second can be calculated as follows:
1.0 x 10² km/h = 100 km/h
1 km = 1000 m
100 km = 100,000 m
1 hour = 3600 seconds
Therefore:
100 km/h = 100,000 m/3600 s = 27.8 m/s
So, the speed of the vehicle in metres per second is 27.8 m/s.
A driver took 1.5 s to scan the instrument panel. During this time, the car was travelling at a speed of 105 km/h. The distance the car travelled while the driver scanned the panel was
To find the distance the car traveled while the driver scanned the panel, we need to calculate the distance the car traveled in 1.5 seconds at a speed of 105 km/h.
First, we need to convert the speed from km/h to m/s:
105 km/h = (105 * 1000 m) / (60 * 60 s)
= 29.17 m/s
Next, we can use the formula:
distance = speed × time
distance = 29.17 m/s × 1.5 s
distance = 43.76 m
Therefore, the car traveled a distance of 43.76 meters while the driver scanned the instrument panel.
To convert the speed from kilometers per hour (km/h) to meters per second (m/s), you need to know the conversion factors.
1 kilometer (km) is equal to 1000 meters (m).
1 hour (h) is equal to 3600 seconds (s).
To convert km/h to m/s, you can use the following steps:
Step 1: Convert kilometers to meters by multiplying the given speed by 1000.
1.0 x 10^2 km/h * 1000 m/km = 1.0 x 10^5 m/h
Step 2: Convert hours to seconds by multiplying the speed in hours by 3600.
1.0 x 10^5 m/h * 1 h/3600 s = 1.0 x 10^5/3600 m/s
Step 3: Simplify the expression.
1.0 x 10^5/3600 m/s ≈ 27.78 m/s
Therefore, the speed of the vehicle is approximately 27.78 m/s.