Answer:
To find the initial velocity (\(u\)) of the object, you can use the kinematic equation:
\[ v = u + at \]
where:
- \(v\) is the final velocity (25 m/s),
- \(u\) is the initial velocity (what we're trying to find),
- \(a\) is the acceleration (1.50 m/s²),
- \(t\) is the time (10 seconds).
Now, rearrange the equation to solve for \(u\):
\[ u = v - at \]
Substitute the known values:
\[ u = 25 \, \text{m/s} - (1.50 \, \text{m/s}^2 \times 10 \, \text{s}) \]
\[ u = 25 \, \text{m/s} - 15 \, \text{m/s} \]
\[ u = 10 \, \text{m/s} \]
So, the initial velocity of the object is \(10 \, \text{m/s}\) to the east.
