To find the acceleration of an object using its initial velocity (u) and the time taken to reach its maximum height (t), you can use the following formula:
a = (v - u) / t
where: a is the acceleration, v is the final velocity, u is the initial velocity, and t is the time taken.
In this case, when the object reaches its maximum height, the final velocity (v) will be zero because the object momentarily comes to rest before falling back down. So, the formula becomes:
a = (0 - u) / t
Simplifying further, we get:
a = -u / t
Therefore, to find the acceleration, divide the negative initial velocity by the time taken to reach the maximum height. Note that the negative sign indicates that the acceleration is in the opposite direction of the initial velocity.