Final answer:
The acceleration is 2 m/s² eastward, calculated using the formula for acceleration, which is the change in velocity divided by the time over which the change occurs.
Step-by-step explanation:
To determine the acceleration of an object, you can use the formula:
a = ∆v / t
Where ∆v is the change in velocity, and t is the time over which the change occurs. In this case, the student increased their walking velocity from 1 m/s to 3 m/s, which is a change (∆v) of 2 m/s, over a time (t) of 1 s. Using the acceleration formula:
a = 2 m/s / 1 s = 2 m/s²
Thus, the acceleration is 2 meters per second per second, or 2 m/s², eastward.
The acceleration can be calculated using the formula:
Acceleration = (change in velocity) / (time taken) = (final velocity - initial velocity) / (time taken)
Here, the initial velocity is 1 m/s east, the final velocity is 3 m/s east, and the time taken is 1 s. Substituting the values in the formula:
Acceleration = (3 m/s - 1 m/s) / 1 s = 2 m/s²