How do you find the acceleration of an object on a velocity-time graph if the acceleration of the object is at t = 5 s in m/s2?
To find the acceleration of an object on a velocity-time graph at a specific time, you can use the slope of the graph at that particular point. This is because the slope of the velocity-time graph represents the rate of change of velocity, which is the definition of acceleration.
To calculate the slope, you need to choose two points on the graph that are close to the desired time, in this case, t = 5 s. The closer the two points are to the desired time, the more accurate the result will be. Let's say the velocity at t = 5 s is v1, and you choose another point (t2, v2) to calculate the slope.
To find the acceleration, you can use the formula:
acceleration = (change in velocity) / (change in time)
In this case, the change in velocity is given by:
change in velocity = v2 - v1
And the change in time is:
change in time = t2 - 5s
Once you have these values, simply plug them into the formula to calculate the acceleration.