Final answer:
The acceleration of the dog that starts with an initial velocity of -2 m/s and reaches a final velocity of 17 m/s after running 50 meters is 4.75 m/s².
Step-by-step explanation:
To calculate the acceleration of the dog, we can use the equation:
acceleration = (final velocity - initial velocity) / time
Given that the initial velocity is -2 m/s, the final velocity is 17 m/s, and the distance traveled is 50 meters, we need to find the time it takes for the dog to reach the final velocity.
Since we don't have the time, we can use the equation:
distance = (initial velocity + final velocity) / 2 * time
Substituting the known values, we can solve for time:
50 = (-2 + 17) / 2 * time
After performing the calculations, we find that the time is 4 seconds. Now we can substitute the values into the acceleration equation:
acceleration = (17 - (-2)) / 4
After calculating, we find that the acceleration of the dog is 4.75 m/s².