a sled is capable of reaching speeds of 450 m/s in 1.82 s then stopped in 1.92 s what is the acceleration
The acceleration rate is 450/1.82 = 247 m/s^2 (or 25.2 g's)
The deceleration rate is 450/1.92 = 234 m/s^2. That can be considered negative acceleration
To find the acceleration of the sled, we need to use the formula:
Acceleration (a) = (Final velocity (v) - Initial velocity (u)) / Time taken (t)
First, let's calculate the initial velocity (u) using the information given.
Given:
Final velocity (v) = 0 m/s (stopped)
Time taken (t) = 1.82 s
Rearranging the formula, we can find the initial velocity:
Initial velocity (u) = Final velocity (v) - Acceleration (a) × Time taken (t)
Since the final velocity is 0 and time taken is 1.82 seconds:
u = 0 - a × 1.82
u = -1.82a
Next, we can calculate the final velocity (v) using the information given.
Given:
Initial velocity (u) = -1.82a
Time taken (t) = 1.92 s
Rearranging the formula, we can find the final velocity:
Final velocity (v) = Initial velocity (u) + Acceleration (a) × Time taken (t)
Plugging in the values:
0 = -1.82a + a × 1.92
Now, we can solve for the acceleration (a):
0 = -1.82a + 1.92a
0 = 1.92a - 1.82a
0 = 0.1a
Dividing both sides by 0.1:
0/0.1 = a
0 = a
Therefore, the acceleration of the sled is 0 m/s². This means that the sled neither accelerated nor decelerated during the given time period.