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Question

Physics Question on Motion in a plane

One of the rectangular components of a vector 80 unit is 40 unit, the other component is

A

69 unit

B

60 unit

C

75 unit

D

36 unit.

Answer

69 unit

Explanation

Solution

Here, υ\upsilon = 80 km h1h^{-1} Let υx\upsilon_x = 40 km h1,υy=?h^{-1}, \upsilon_y = ? We know υ2=υx2+υy2\upsilon^2 = \upsilon^2_x + \upsilon^2_y υy2=υ2υx2=802402\upsilon^2_y = \upsilon^2 - \upsilon^2_x = 80^2 - 40^2 =64001600=4800= 6400 - 1600 = 4800 υy=4800\upsilon_y = \sqrt{4800} = 69.28 unit .