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A body moves 60km east in 2hrs and 75km due south in 3hrs. Find the average velocity for its entire motion.

User Dinorah
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Final answer:

The average velocity for the entire motion is 5 km/hr east.

Step-by-step explanation:

To find the average velocity for the entire motion, we need to calculate the total displacement and the total time taken.

For the eastward motion, the body moves 60 km in 2 hours. So the velocity is 60 km / 2 hr = 30 km/hr east.

For the southward motion, the body moves 75 km in 3 hours. So the velocity is 75 km / 3 hr = 25 km/hr south.

To calculate the average velocity, we need to combine these velocities. We can use vector addition to find the resultant velocity:

30 km/hr east - 25 km/hr south = 30 km/hr east - 25 km/hr * sin(90°) = 30 km/hr east - 25 km/hr = 5 km/hr east.

Therefore, the average velocity for the entire motion is 5 km/hr east.

User Jbrennan
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