Final answer:
The final velocity v is calculated using the equation v = u + at with the given initial velocity u = 2 m/s, acceleration a = -5 m/s^2, and time t = 1.5 s. Substituting these values gives v = -5.5 m/s, indicating the object is decelerating.
Step-by-step explanation:
To work out the value of v using the equation v = u + at, where u is the initial velocity, a is the acceleration, and t is the time, first identify the given values:
- Initial velocity (u): 2 m/s
- Acceleration (a): -5 m/s2
- Time (t): 1.5 s (since the question states 1/1/2 which is interpreted as 1.5)
Next, substitute these values into the equation to calculate final velocity (v):
v = u + at
v = 2 m/s + (-5 m/s2) × 1.5 s
v = 2 m/s - 7.5 m/s
v = -5.5 m/s
The final velocity is -5.5 m/s, which means the object is slowing down (since acceleration is negative) and moving in the direction opposite to the positive direction of the axis defined by its initial velocity.