IF a plane can travel 2.00 x 10 to the power of 3 km in 3.00 hours, what is the velocity in metre/sec.?
To calculate the velocity in meters per second, we need to convert the distance traveled from kilometers to meters and the time from hours to seconds.
Given:
Distance traveled = 2.00 x 10^3 km
Time taken = 3.00 hours
1 kilometer (km) is equal to 1000 meters (m).
1 hour is equal to 3600 seconds (s).
Step 1: Convert the distance from kilometers to meters.
Distance traveled in meters = 2.00 x 10^3 km x 1000 m/km = 2.00 x 10^6 m
Step 2: Convert the time from hours to seconds.
Time taken in seconds = 3.00 hours x 3600 s/hour = 1.08 x 10^4 s
Step 3: Calculate the velocity.
Velocity = Distance traveled / Time taken
Velocity = (2.00 x 10^6 m) / (1.08 x 10^4 s)
To divide the values written in scientific notation, subtract the exponents:
Velocity = 1.85 x 10^2 m/s
Therefore, the velocity of the plane is 1.85 x 10^2 meter/second.