Final answer:
The momentum of the particle after a certain amount of time can be calculated using the formula p = mv, where p is the momentum, m is the mass of the particle, and v is the velocity. Given the mass and initial velocity of the particle, we can use this formula to calculate the momentum.
Step-by-step explanation:
The subject of this question is physics. It involves the concept of momentum, which is the product of an object's mass and velocity. The question asks for the momentum of a particle after a certain amount of time. To calculate the momentum, we can use the formula momentum (p) = mass (m) * velocity (v).
Given that the mass of the particle is 0.5 kg and the initial velocity has a horizontal component of 30 m/s, we can calculate the momentum by multiplying the mass (0.5 kg) by the horizontal component of the velocity (30 m/s).
Using the formula, p = (0.5 kg)(30 m/s) = 15 kg·m/s.