To find the average acceleration when you know the change in time and distance traveled by an object, you can use the following formula:
Average acceleration = (Final velocity - Initial velocity) / Time
However, since you have provided the distance traveled instead of the final velocity, we need to rearrange the formula using kinematic equations.
The equation that relates distance (d), initial velocity (v₀), time (t), and acceleration (a) is:
d = v₀t + (1/2)at²
Rearranging this equation, we get:
2d = 2v₀t + at²
Now, we can solve for acceleration (a):
2d - 2v₀t = at²
a = (2d - 2v₀t) / t²
Using this formula, you can calculate the average acceleration when you know the change in time and distance traveled by an object.