To determine the height of a flagpole, abby throws a ball straight up and times it. she sees that the ball goes by the top of the pole after 0.50 s and then reaches the top of the pole again after a total elapsed time of 4.1 s. how high is the pole above the point where the ball was launched? (you can ignore air resistance.)

Initially the ball pass the pole after 0.5 s

and then after 4.1 s again it will reach the top of the pole

So time taken by the ball to cover the distance above the pole is

now the time it will take to reach the highest point from the top of the pole is given as

now the total time to reach the top from the bottom is given as

so the initial speed by which it will throw is given as

also the speed after 0.5 s

so the height of the pole is given as

so height of the pole is 10 m

an energy transformation flow diagram is shown

where is it ?