So I have this lab where one of the questions asks to find the average acceleration (m/s^2)

The formula is a=v2-v1/change in time
I don’t understand how to solve this since I only have the average time and distance in (m) for the marble

your distance is your average speed * time

if your marble started at a stop then V1 = 0
then v = a t
x = (1/2) a t^2
a = 2x/t^2

I don’t get it what does x represent

Oh it’s total distance that I have not just distance

To find the average acceleration using the formula a = (v2 - v1) / Δt, you'll need to know the final velocity (v2), initial velocity (v1), and the change in time (Δt). However, it seems like you only have the average time and distance for the marble.

To solve this, you'll need to gather more information. Specifically, you'll need to find either the final velocity or the initial velocity of the marble. Without either one of these, you won't be able to calculate the average acceleration accurately.

Here's what you can do to gather the necessary data:

1. Determine the initial velocity (v1): If you have information about the speed of the marble at the starting point, you can use it as the initial velocity (v1). For example, if the marble is initially at rest, the initial velocity would be 0 m/s.

2. Measure the final velocity (v2): If you have a way to measure the speed of the marble at the end of its motion, you can use it as the final velocity (v2). This could be done using a timing device or a velocity sensor.

Once you have the values for the final velocity (v2), initial velocity (v1), and the average time (Δt), you can substitute them into the formula a = (v2 - v1) / Δt to calculate the average acceleration.