What is the displacement of the object, the object’s average speed, and the object’s average velocity?
A object moves according to the equation #v(t)=4t-t^2# . Sketch an accurate graph of v(t).For the time interval [1, 5] find the distance the object travels, the displacement of the object, the object’s average speed, and the object’s average velocity.
A object moves according to the equation
1 Answer
Displacement: 20/3
Average speed = Average velocity = 4/3
Explanation:
So, we know that
Since velocity is how an object's displacement changes with time, by definition,
So,
So,
The average speed is defined as distance divided by time elapsed, and the average velocity is defined as the displacement divided by time elapsed.
Now, we can just take
I will assume 1-dimensional motion here, so the distance traveled and the displacement is the same.
Again, units. :P