Final answer:
The question asks about the instantaneous velocity and speed of a particle at specific times. The instantaneous velocity can be found using the given information in parts (b) and (c), while the speed is the magnitude of the velocity. The instantaneous velocity and speed at t = 0.50 s and t = 1.0 s can be determined based on the given data.
Step-by-step explanation:
The question is about the instantaneous velocity and speed of a particle at different times. Instantaneous velocity is the velocity of the particle at a specific moment in time. To find the instantaneous velocity, we can refer to the given information in parts (b) and (c) of the question. At t = 0.25 s, the velocity is not given, so we cannot determine the instantaneous velocity. At t = 0.50 s, the velocity is 20 m/s, and at t = 1.0 s, the velocity is 15 m/s. The speed of the particle is simply the magnitude of the velocity. Therefore, the speed at t = 0.25 s would be just the magnitude of the velocity at that time, which is not given. At t = 0.50 s, the speed would be 20 m/s, and at t = 1.0 s, the speed would be 15 m/s.