Gabrielius T.

asked • 07/20/21# Physics problem find initial velocity

Given the equation of the moving body s=3t^{2}+2t+1 (in SI units), find its initial velocity (at t=0).

Correct answer: 2 m/s

## 1 Expert Answer

Using Calculus, the velocity is ds/dt so taking the derivative of the displacement function gives the velocity function. ds/dt = 6t + 2 or v(t) = 6t + 2 and for t = 0, the velocity = 2 m/s

If you are not doing a Calculus based Physics class, you can consider the following kinematic equation:

(could be written using different variables):

x_{f} = x_{i} + v_{i}t + 1/2at^{2}

Notice that this is a quadratic equation (in terms of the time variable) where the "t" term has a coefficient equal to the initial velocity. Since your problem is also a quadratic function in terms of the time variable, and the "t" term has a coefficient of "2", then the initial velocity must be 2.

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem.

Most questions answered within 4 hours.

#### OR

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.

Robert S.

07/20/21