Final answer:
The average speed of a particle uniformly accelerated from rest to 50 m/s over 5.0 seconds is 25 m/s.
Step-by-step explanation:
The question concerns a particle that is uniformly accelerated from rest to a speed of 50 meters per second over a time interval of 5.0 seconds. To find the average speed during this period, we can use the formula for average speed, which is the total distance covered divided by the time taken. Since the starting speed is 0 m/s and the final speed is 50 m/s, we can calculate the distance traveled using the kinematic equation s = ut + ½ at², where s is the distance, u is the initial speed, a is the acceleration, and t is the time. Assuming a constant acceleration, the average speed can also be found by taking the mean of the initial and final speeds. Since u = 0 and final velocity v = 50 m/s, the average speed would be (0 + 50)/2 = 25 m/s.