Distinguish between instantenous speed and average speed.A man drives a car at distance of 200km at an average speed of 44km per hour .What must be his average speed for the next 220km if he is to cover the total distance in 9hours
Divide 200 km by 44 kmh to determine the time it took to go that far. Subtract that from 9. That is the time remaining. Now, how fast must the driver go to travel 220 km in that remaining time? Divide 220 by the remaining time.
T1 = d1/V1 = 200/44 = 4.55 h.
T2 = 9-4.55 = 4.45 h.
V2 = d2/T2 = 220/4.45 = 49.44 km/h.
Instantaneous speed refers to the speed of an object at any given moment. It is the rate at which an object is moving at a specific instant in time, often expressed in units such as kilometers per hour (km/h) or meters per second (m/s). On the other hand, average speed is the total distance traveled divided by the total time taken.
In the given scenario, the man has already traveled a distance of 200 km at an average speed of 44 km/h. We can calculate the time taken to cover this distance by dividing the distance by the speed:
Time = Distance / Speed
Time = 200 km / 44 km/h
Time ≈ 4.55 hours
Now, let's find out how much time the man has left to cover the remaining distance of 220 km within a total time of 9 hours:
Remaining time = Total time - Time taken already
Remaining time = 9 hours - 4.55 hours
Remaining time ≈ 4.45 hours
To calculate the required average speed for the next 220 km, divide the remaining distance by the remaining time:
Average speed = Remaining distance / Remaining time
Average speed = 220 km / 4.45 hours
Average speed ≈ 49.44 km/h
Therefore, the man must maintain an average speed of approximately 49.44 km/h for the next 220 km in order to cover the total distance in 9 hours.