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# Method of Subsitution : Velocity from Displacement and Acceleration

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In science, we calculate the displacement of an object (how far it travels) and the velocity of an object (how fast it is moving) using the displacement equation and the velocity equation.

where
x is the displacement of the object, measured in meters
t is the amount of time that we analyze the movement of the object, measured in seconds
v0 is the initial velocity of the object, i.e. the velocity of the object at the beginning of our analysis, measured in meters per second (m/s).
v is the final velocity of the object, i.e. the velocity of the object at the end of the time period t. The final velocity is measured in meter per second (m/s).

a is the acceleration experienced by the object, i.e. the rate at which the velocity is changing, measured in meters per square second (m/s2).

Problem
A car that is moving with an initial velocity of 4 m/s experiences an acceleration of 6 m/s2. Find the final velocity of the car after it has moved a distance of 7 meters while experiencing this acceleration.

Use the method of substitution.

https://brainmass.com/physics/velocity/method-subsitution-velocity-displacement-acceleration-38234

#### Solution Preview

Please see the attached file for the complete solution.

In science, we calculate the displacement of an object (how far it travels) and the velocity of an object (how fast it is moving) using the displacement equation and the velocity equation.

where
x is the displacement of the object, measured in meters
t is the amount of time that we analyze the movement of the object, measured in seconds
v0 is the ...

#### Solution Summary

Velocity is found from displacement and acceleration.

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