A car moves with a speed of 60 , km/h for 1 , | vedclass

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Question

(C) The car travels in the east direction for $1 \, h$ at a speed of $60 \, km/h$. The distance covered in the east direction is $d_1 = 60 \, km/h 	i

Vedclass · Accepted Answer

$30 \sqrt{5}$

Vedclass · Answer

(C) The car travels in the east direction for $1 \, h$ at a speed of $60 \, km/h$. The distance covered in the east direction is $d_1 = 60 \, km/h 	imes 1 \, h = 60 \, km$.The car then travels in the south direction for $30 \, min$ $(0.5 \, h)$ at the same speed of $60 \, km/h$. The distance covered in the south direction is $d_2 = 60 \, km/h 	imes 0.5 \, h = 30 \, km$.Since the east and south directions are perpendicular to each other,the displacement is the hypotenuse of a right-angled triangle with sides $60 \, km$ and $30 \, km$.Displacement $= \sqrt{d_1^2 + d_2^2} = \sqrt{60^2 + 30^2} = \sqrt{3600 + 900} = \sqrt{4500} = \sqrt{900 	imes 5} = 30 \sqrt{5} \, km$.

$A$ car moves with a speed of $60 \, km/h$ for $1 \, h$ in the east direction and with the same speed for $30 \, min$ in the south direction. The displacement of the car from the initial position is ......... $km$.

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