Question

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?

विकल्प

• 1 m/s²

• 2 m/s²

• 5 m/s²

• −5 m/s²

Answer 1

−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