A ball is given simultaneously two velocities , one 10 m/s due east and the other 20 m/s due north-west.Calculate the resultant velocity of the ball

Asked by nooh KHAN | 15th Feb, 2014, 01:41: PM

Expert Answer:

Given that,

V1 = 10 m/s

V2 = 20 m/s

The angle between two velocities = 90 + 45 (∴ one is East and other is North West)

θ = 135?

V2 = V12 + V22 + 2 V1 V2 Cos θ

V2 = 102 + 202 + 2(10) (20) (Cos135)

       = 100 + 400 + 400 (- Cos45)

       = 500 + 400(-1 /)

      = 500 - (400 / 1.414)

V2 = 500 - 282.84 = 217.157

V = 14. 73 m/s

Therefore the resultant velocity of the ball = 14.73 m/s.

Answered by  | 17th Feb, 2014, 04:39: PM

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