Question

The velocity of a certain body is V=at^2 + b . Then the unit of 'a' is a) ms^-2 b) ms^-1 c) ms d) ms^-3

Answer 1

Answer:

The expression for velocity is given as V= At^2+Bt+CAt2+Bt+C ;

Now we know that the SI unit for velocity is m/s so to make both side equal both the sides should have m/s as their SI unit

So, if At^2= m/sAt2=m/s

                                        As^2=m/sAs2=m/s

                                        A = m/s^3A=m/s3

Since si unit for time is second ‘t’ is replaced by s.

Similarly, Bt = m/s

                                        Bs=m/s

                                        B=m/s^2B=m/s2

And for C it should be m/s

Answer 2

GiveN :

• v = at² + b

To FinD :

• Unit of a

SolutioN :

We're given equation, v = at² + b

Where,

• v is velocity
• t is Time interval
• a and b are constants

⇒v = at²

As we know that unit of velocity is m/s. So,

⇒m/s = a * s²

⇒a = m/s(s²)

⇒a = m/s³

$\therefore$ d) Unit of a is m/s³

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Some Additional Information :

• Velocity is defined as rate of change of displacement.

• SI unit of velocity is m/s.

• Velocity is a vector Quantity.

• $\sf{Velocity = \dfrac{Displacememt}{Time}}$