A vehicle moves along a straight line and covers a distance of 2 km. In the first 500 m it moves with a speed of 10 m/s Class 7

A vehicle moves along a straight line and covers a distance of 2 km. In the first 500 m it moves with a speed of 10 m/s Class 7

A vehicle moves along a straight line and covers a distance of 2 km. In the first 500 m it moves with a speed of 10 m/s and in the next 500 m, it moves with a speed of 5m/s. With what speed should it move the remaining distance so that the journey is complete in 200 s? What is the average speed of the vehicle for the entire journey? Class 7

Answer:

Given:

Total distance = 2km = 2000 m

Total time = 200s

Step 1: Time taken to cover the first 500 m

Time = [latex]\frac{\text { Distance }}{\text { Speed }}=\frac{500}{10} [/latex]= 50s

Step 2: Time taken to cover the next 500 m

Speed = [latex]\frac{500}{5}[/latex] = 100s

Step 3: Remaining distance

= 2000-1000=1000m

Remaining time = 200-150=50 s

Step 4: Speed required to cover the remaining 1000 m

Speed = [latex]\frac{\text { Distance }}{\text { Time }}=\frac{1000}{50}[/latex] = 20m/s

Step 5: Average speed

= [latex]\frac{\text { Total distance }}{\text { Total time taken }}[/latex]

= [latex]\frac{2000}{200}=10 \mathrm{~m} / \mathrm{s} [/latex]