Rocket-powered sleds are been used to test the
responses of humans to acceleration. Starting from rest, one sled can reach a speed of
424 m/s in 2.35 s and can be brought to a stop
again in 2.16 s.
Find the acceleration of the sled while accelerating.
Answer in units of m/s2
a1=(v2-v1)/t1=(424 - 0)/2.35 =180.43 m/s^2
a2=(v3-v2)/t2=(0-424)/2.16 =-196.3 m/s^2
To find the acceleration of the sled while accelerating, we can use the equation:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity (start from rest) is 0 m/s, the final velocity is 424 m/s, and the time taken to reach this velocity is 2.35 s.
So, the acceleration while accelerating is:
acceleration = (424 m/s - 0 m/s) / 2.35 s
acceleration = 424 m/s / 2.35 s
Now, let's calculate this:
acceleration = 180.425 m/s²
Therefore, the acceleration of the sled while accelerating is approximately 180.425 m/s².