Final answer:
The comet is in a bound orbit because its speed is less than the escape velocity at its distance from the Sun.
Step-by-step explanation:
The speed of the comet can be compared to the escape velocity, which is the minimum speed needed to escape the gravitational pull of the Sun. For a circular orbit, the speed is constant and equal to the escape velocity. If the speed of the comet is greater than the escape velocity, it will be in an unbound orbit. If the speed is less than or equal to the escape velocity, it will be in a bound orbit.
In this case, the speed of the comet is 24.3 km/s. If we compare this to the escape velocity at 1.50 AU from the Sun, we find that the escape velocity is approximately 35.6 km/s. Since the speed of the comet is less than the escape velocity, it is in a bound orbit.