1.

if an object in motion moves along the side of the square of side 20 meter , if it takes 20 seconds to complete two adjacent side of square , what will be the relation of speed and velocity​

Answer»

ANSWER:

SPEED = VELOCITY

GIVEN:

A object is moving along the side of a square.

Side of square = 20m

TO FIND:

Speed and velocity in completing TWO adjacent side of square.

SOLUTION:

FOR SPEED:

Distance travelled in completing two adjacent side of square = 20+20 = 40 m

TIME taken to complete = 20 sec

FORMULA

\implies \: speed \: = \frac{ distance}{time}

Putting the values we get

\implies \: speed \: = \frac{40}{20} \\ \implies \: speed \: = \: 2ms {}^{ - 1}

FOR VELOCITY:

  • Displacement when completing the two adjacent side of square = Diagonal of square.
  • Diagonal of square : √2(side)
  • Displacement = √2*20 = 20√2 m= 28.3 m
  • Time taken to cover 28.3m = 14.15 ( Distance/Speed = Time ; 28.3/2 = 14.15)

Formula:

\implies \: velocity \: = \frac{displacement}{time}

Putting the values we get

\implies \: velocity = \frac{20 \sqrt{2} }{14.15} \\ \implies \: velocity \: = 2 \: ms {}^{ - 1}


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