Respuesta :

Answer:

Average speed of the car is 48 km/hour.

Average velocity of the car is 34.15 km/hour in north east direction.

Explanation:

Total distance traveled by car = 16 km + 20 km = 36 km

Total time taken by car = 0.75 hour

Average speed of the car = [tex]\frac{\text{total distance}}{\text{Total time taken }}[/tex]

[tex]=\frac{36 km}{0.75 hour}=48 km/hour[/tex]

Average speed of the car is 48 km/hour.

A car traveled 16 km north and then 20 km east .The displacement of the car can be calculated by :

From figure given:

AB = 16 km

BC = 20 km

AC = Displacement

[tex]AB^2+BC^2=AC^2[/tex]

[tex]AC=\sqrt{(16 km)^2+(20 km)^2}=25.61 km[/tex]

Average velocity of the car = [tex]\frac{\text{total displacement}}{\text{Total time taken }}[/tex]

[tex]=\frac{25.61 km}{0.75 hour}=34.15 km/hour[/tex] in north east direction.

Average velocity of the car is 34.15 km/hour in north east direction.

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