Yes, there is another way to find the distance traveled by an object using acceleration. In addition to using the formula that involves time, initial velocity, and final velocity, you can also use the following formula:
distance = (initial velocity * time) + (0.5 * acceleration * time^2)
In this formula, you still need the initial velocity (u), time (t), and acceleration (a) of the object.
Let's use the same values from the previous example to find the distance traveled:
Initial velocity (u) = 13 m/s Final velocity (v) = 25 m/s Time (t) = 6.0 seconds Acceleration (a) = 2 m/s²
Substituting these values into the formula, we get:
distance = (13 m/s * 6.0 s) + (0.5 * 2 m/s² * (6.0 s)^2) distance = (78 m) + (0.5 * 2 m/s² * 36 s²) distance = 78 m + 36 m distance = 114 m
Therefore, using this alternative formula, we find that the distance traveled by the car is still 114 meters, consistent with the previous result.