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If x= at + bt^(2) , where x is the dist...

If ` x= at + bt^(2)` , where `x` is the distance rtravelled by the body in kilometer while `t` is the time in seconds , then find the units of `b`.

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AI Generated Solution

To find the units of \( b \) in the equation \( x = at + bt^2 \), where \( x \) is the distance traveled in kilometers and \( t \) is the time in seconds, we can follow these steps: 1. **Identify the Units of Each Quantity**: - The unit of \( x \) (distance) is kilometers (km). - The unit of \( t \) (time) is seconds (s). 2. **Analyze the Equation**: - The equation \( x = at + bt^2 \) implies that both terms on the right side must have the same units as \( x \). ...
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If x= at + bt^(2) , where x is the distance travelled by the body in kilometer while t is the time in seconds , then find the units of b .

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Knowledge Check

  • If x = at + bt^(2) , where x is in meter and t in hours (hr) then the unit of b is

    A
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    B
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    `tsqrt(2)`
    B
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    C
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    D
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