When a car screeches to a sudden stop to avoid hitting a dog, it slows down from 9.00 m/s to 0.00 m/s in 1.50 s. Find the average acceleration of the car?
Acceleration is change in velocity over time, or
a = (v2 - v1) / t
Substituting,
a = (0 - 9) / 1.5
a = ?
Now solve for a, note that it's negative since the final velocity is smaller than the initial velocity. Units in m/s^2
Hope this helps~ `u`
-6 meters per second
To find the average acceleration of the car, we can use the following equation:
average acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (v0) = 9.00 m/s
Final velocity (v) = 0.00 m/s
Time (t) = 1.50 s
Substituting these values into the equation:
average acceleration = (0.00 m/s - 9.00 m/s) / 1.50 s
Simplifying:
average acceleration = -9.00 m/s / 1.50 s
Using calculator:
average acceleration ≈ -6.00 m/s^2
Therefore, the average acceleration of the car is approximately -6.00 m/s^2.
To find the average acceleration of the car, we can use the formula:
average acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (u) = 9.00 m/s
Final velocity (v) = 0.00 m/s
Time (t) = 1.50 s
Substituting the values into the formula, we have:
average acceleration = (0.00 m/s - 9.00 m/s) / 1.50 s
Simplifying the equation, we get:
average acceleration = -9.00 m/s / 1.50 s
Dividing -9.00 by 1.50, we find:
average acceleration = -6.00 m/s²
Therefore, the average acceleration of the car is -6.00 m/s².
Note: The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, which means that the car is decelerating or slowing down.