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Georgia is jogging with a velocity of 4 m/s when she accelerates at 2 m/s^2 for 3 seconds. how fast is she running now?

Sagot :

Answer:

Georgia is now running at the speed of 10 m/s. The equation to be used is the first equation of rectilinear motion which is v=u+at.

Step-by-step explanation:

This problem is a rectilinear motion problem. Let us first list all the given values so that we can see what equation we'll going to use to solve it.

Initial velocity = 4 m/s

Acceleration = 2 m/s^2s

2

Time = 3 s

There are 3 equations of rectilinear motion. These 3 are listed below:

v = u + at

Δs = ut + \frac{1}{2}

2

1

at^2t

2

v^2 = u^2 + 2av

2

=u

2

+2a Δs

where u = initial velocity, v = final velocity, a = acceleration, Δs = distance traveled, and t = time.

With the given information we can now decide what equation to use. We will use the first equation.

Solving mathematically:

v = u + at

v = 4 m/s + (2 m/s^2s

2

)(3 s)

v = 10 m/s

Final answer is 10 m/s.