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.