A body moves due east with velocity 20km/hr and then due south with velocity 30 km/hr. The resultant velocity is (in Km/hr)

Question

A body moves due east with velocity 20km/hr and then due south with velocity 30 km/hr. The resultant velocity is (in Km/hr) (A) 36 (B) 49 (C) 50 (D) 51

Tardigrade Admin · Accepted Answer

R v =√ V E 2+ V s 2+2 V E V s cos 90° =√(20)2+(30)2 =√400+900 =√1300 =36.05 km / hr <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/b7084d9cbff63b9b14137f6f964d9bb6-.png" />

Q. A body moves due east with velocity $20 km / h r$ and then due south with velocity $30 km / h r$ . The resultant velocity is (in Km/hr)

36

49

50

51

$R_{v} = V_{E}^{2} + V_{s}^{2} + 2 V_{E} V_{s} cos 9 0^{\circ}$
$= (20)^{2} + (30)^{2}$
$= 400 + 900$
$= 1300$
$= 36.05 km / h r$

Q. A body moves due east with velocity 20km/hr and then due south with velocity 30km/hr. The resultant velocity is (in Km/hr)

36

49

50

51

Rv​=VE2​+Vs2​+2VE​Vs​cos90∘​ =(20)2+(30)2​ =400+900​ =1300​ =36.05km/hr

Q. A body moves due east with velocity $20 km / h r$ and then due south with velocity $30 km / h r$ . The resultant velocity is (in Km/hr)

$R_{v} = V_{E}^{2} + V_{s}^{2} + 2 V_{E} V_{s} cos 9 0^{\circ}$
$= (20)^{2} + (30)^{2}$
$= 400 + 900$
$= 1300$
$= 36.05 km / h r$