Question

The velocity of an object varies with time as v = At*2 + Bt+ C . If units of v and t are expressed in SI . Find the units of constants A, B , and C.

Answer 1

Answer:

I take A as X

B as Y

C as Z

Answer 2

The units of A are m/sec³, B is m/sec², and c is m/sec.

Given,

The velocity of an object varies with time as v = At² + Bt+ C, where v and t are expressed in SI units.

To Find,

The units of constant A, B, and C.

Solution,

The given expression is v = At² + Bt+ C

So, At², Bt, C, and v will have the same units.

The SI unit of velocity is m/s.

So, the units of C will also be m/sec.

Now, we will compare the units of v and At²

m/sec = A(sec)²

A = m/sec³

Now, we will compare the units of v and Bt

m/sec = B(sec)

B = m/sec²

Hence, the units of A are m/sec³, B is m/sec², and c is m/sec.

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