science
Grade-11
Easy

Question

If a dog swims across the river with 3 m/s and the river's speed is 4 m/s. Find the velocity of the dog.

  1. 5
  2. 3
  3. 2
  4. 6

hintHint:

5 m/s

The correct answer is: 5


    Given:
    The velocity of dog w.r.t river (Vdr) = 3j ms-1
    The velocity of river water (Vr) = 4i ms-1
    To find: 
    Actual velocity of dog = ?
    Solution: 
    Vdr = Vd - V
    3 j with hat on top space equals space V subscript d space minus space 4 i with hat on top
3 j with hat on top space space plus space 4 i with hat on top space equals space V subscript d
open vertical bar stack V subscript d with bar on top close vertical bar space equals space square root of 3 to the power of 2 space end exponent plus space 4 squared end root space equals space square root of 9 space plus space 16 space end root space equals space square root of 25 space end root
open vertical bar stack V subscript d with bar on top close vertical bar space equals space 5 m s to the power of negative 1 end exponent
    Answer: 
    The actual velocity of the dog = 5ms-1

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