A girl walks with a velocity of 1 m/s, and then increases her speed uniformly to 3 m/s in 4 s.
What is the girl’s acceleration?
A. 1.5 m/s2
B. 0.75 m/s
C. 2 m/s2
D. 0.5 m/s2
good
To find the girl's acceleration, we can use the formula for acceleration:
Acceleration = (Change in Velocity) / (Time taken)
First, we need to find the change in velocity. The girl's velocity initially is 1 m/s, and she increases it uniformly to 3 m/s. Therefore, the change in velocity is:
Change in Velocity = 3 m/s - 1 m/s = 2 m/s
Next, we need to find the time taken. The girl takes 4 seconds to increase her speed from 1 m/s to 3 m/s. Therefore, the time taken is:
Time taken = 4 s
Now, we can substitute these values into the formula:
Acceleration = (Change in Velocity) / (Time taken)
Acceleration = 2 m/s / 4 s
Acceleration = 0.5 m/s²
Therefore, the girl's acceleration is 0.5 m/s², which corresponds to option D.