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# Acceleration and Velocity

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An object is thrown downward from the top of a building with an initial velocity of 30 m/s. Assuming a positive direction of y measured downward from the top, derive an expression for (a) the velocity and (b) the displacement as a function of time. Assume y(0)=0

https://brainmass.com/math/integrals/acceleration-velocity-21558

#### Solution Preview

This is a free-fall problem, in which an object is moving under the influence of gravity - constant acceleration.

some definitions:

Acceleration: The rate of change of the velocity with time.
Formula: a=dv/dt

Velocity: The rate of change of the displacement with ...

#### Solution Summary

From the word - definition of velocity and acceleration, the solution shows how to derive the expressions for the velocity and acceleration and applying initial conditions.

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