Final answer:
A rocket sled reaches a speed of 444 m/s in 1.80 seconds and comes to a stop in 2.15 seconds. The acceleration during acceleration is 246.67 m/s². The distance covered during acceleration is 199.98 m. The average speed during deceleration is 222 m/s. The time it takes for the sled to come to a stop is 2.15 seconds.
Step-by-step explanation:
A) Acceleration during acceleration:
To find the acceleration of the sled during acceleration, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Final velocity (v) = 444 m/s
Initial velocity (u) = 0 m/s
Time (t) = 1.80 s
Substituting these values into the formula gives:
acceleration = (444 m/s - 0 m/s) / 1.80 s
Therefore, the acceleration of the sled during acceleration is 246.67 m/s2.
B) Distance covered during acceleration:
To find the distance covered during acceleration, we can use the formula:
distance = (initial velocity x time) + (0.5 x acceleration x time2)
Initial velocity (u) = 0 m/s
Time (t) = 1.80 s
Acceleration (a) = 246.67 m/s2
Substituting these values into the formula gives:
distance = (0 m/s x 1.80 s) + (0.5 x 246.67 m/s2 x (1.80 s)2)
Therefore, the distance covered during acceleration is 199.98 m.
C) Average speed during deceleration:
To find the average speed during deceleration, we can use the formula:
average speed = (initial velocity + final velocity) / 2
Initial velocity (u) = 444 m/s
Final velocity (v) = 0 m/s
Substituting these values into the formula gives:
average speed = (444 m/s + 0 m/s) / 2
Therefore, the average speed during deceleration is 222 m/s.
D) Time to come to a stop:
Since the sled was brought to a stop in 2.15 seconds, that is the time it takes for the sled to come to a stop.