मराठी

If the velocity of a car is given by V = (150 − 10x)½ m/s. If a car retards their motion by applying brakes then what will be the acceleration? -

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प्रश्न

If the velocity of a car is given by V = (150 − 10x)½ m/s. If a car retards their motion by applying brakes then what will be the acceleration?

पर्याय

  • 1 m/s2

  • 2 m/s2

  • 5 m/s2

  • −5 m/s2

MCQ

उत्तर

−5 m/s2

Explanation:

V = (150 − 10x)½

⇒ `"dV"/"dt" = ("d"(150 - 10"x")^(1//2))/"dt" xx "dx"/"dx"`

`"dV"/"dt" = ("d"(150 - 10"x")^(1//2))/("dx") xx "dx"/"dt"`

⇒ a = `("d"(150 - 10"x")^(1//2))/"dx""V"`

a = `1/2 xx (150 - 10"x")^(-1//2) (-10) xx (150 - 10"x")^(1//2)`

a = −5 m/s2

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