Question

The velocity of a body is given by the equation v = a + bt, where ‘t’ is time. The unit of b is

Answer 1

Answer:

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Answer 2

Answer:

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Step-by-step explanation:

From the equations of motion we know,

v = u + at,

where,

v = final velocity (m/s)

u = initial velocity (m/s)

a = acceleration (m/s^2)

t = time (s)

So either

At^3 = u

so, A = u / (t^3), thus A has dimensions of (m/s) / (s^3) = m / (s^4)

-Bt = at

so, B = -a, thus B has dimensions of m/(s^2)

or

At^3 = at

so, A = a / (t^2), thus A has dimensions of [m/(s^2)] / (s^2) = m / (s^4)

-Bt = u

so, B = -u/t, thus B has dimensions of (m/s) / s = m / (s^2)