Final answer:
The final speed of the body after 2.86 seconds, given its initial speed of 4.32 m/s and an acceleration of 3.22 m/s², is calculated using the kinematic equation v = u + at. After performing the calculation, the final speed is found to be 13.53 m/s.
Step-by-step explanation:
The question asks about the final speed of a body given its initial speed, time elapsed, and uniform acceleration. To calculate the final speed of the body (v), we use the kinematic equation v = u + at, where u is the initial velocity, a is the acceleration, and t is the time.
In this scenario:
- Initial velocity (u) = 4.32 m/s
- Acceleration (a) = 3.22 m/s2
- Time (t) = 2.86 s
Substituting these values into the equation:
v = 4.32 m/s + (3.22 m/s2 × 2.86 s)
After calculations,
v = 4.32 m/s + 9.21 m/s = 13.53 m/s
So, the final speed of the body after 2.86 seconds is 13.53 m/s.