If the stationary object were to accelerate at 10 m/s² towards the ship, the relative velocity between the ship and the object would change. Let's analyze the situation:
Initially, the ship is traveling away from the stationary object at a constant velocity of 100 m/s. Therefore, the relative velocity between them is 100 m/s in the opposite direction.
If the stationary object starts accelerating towards the ship at 10 m/s², the relative velocity will change over time. We can use the equation:
v = u + at
where: v = final velocity (relative velocity) u = initial velocity (relative velocity) a = acceleration of the object t = time
Since the ship's velocity is constant, we can consider the initial relative velocity (u) as -100 m/s (negative because it is in the opposite direction). The acceleration of the object (a) is +10 m/s² (positive because it's towards the ship). Let's calculate the relative velocity after a certain time, t:
v = u + at v = -100 m/s + 10 m/s² * t
If you provide a specific time, I can calculate the relative velocity at that moment.