Keiko is riding a skateboard 2 m/s, west. How long will it take her to reach a velocity of 8 m/s, west if her acceleration is 2 m/s2?

3 seconds
6 seconds
8 seconds
10 seconds

acceleration of 2m/s^2 means that every second the speed increases by 2m/s.

So, to change from 2m/s to 8m/s, it increases 6m/s

That takes 3 seconds

3 seconds

To find the time it will take for Keiko to reach a velocity of 8 m/s, west, we need to use the equation:

final velocity = initial velocity + (acceleration * time)

Given:
Initial velocity (u) = 2 m/s, west
Final velocity (v) = 8 m/s, west
Acceleration (a) = 2 m/s^2

Let's assume the time taken is 't':

8 m/s = 2 m/s + (2 m/s^2 * t)

Rearranging the equation, we get:

6 m/s = 2 m/s^2 * t

Now, we can solve for 't':

t = 6 m/s / 2 m/s^2

t = 3 seconds

Therefore, it will take Keiko 3 seconds to reach a velocity of 8 m/s, west.

To find the time it will take for Keiko to reach a velocity of 8 m/s, west with an acceleration of 2 m/s^2, we can use the equation:

v = u + at

Where:
v = final velocity
u = initial velocity
a = acceleration
t = time

In this case, the initial velocity (u) is 2 m/s, west and the final velocity (v) is 8 m/s, west. The acceleration (a) is given as 2 m/s^2.

Plugging in the given values into the equation:

8 = 2 + 2t

Rearranging the equation to solve for time (t):

2t = 8 - 2
2t = 6

Dividing both sides by 2:

t = 6 / 2
t = 3

Therefore, it will take Keiko 3 seconds to reach a velocity of 8 m/s, west.