Good day to all. I have an introductory physics problem that has to do with proj

Question

Good day to all. I have an introductory physics problem that has to do with projectile motions. I have done the work but would like to get a second opinion, as I am not sure if what I have done is correct. The problem reads as follows:

Two soccer amateurs have engaged in a gam
e of precision. At t=0s, Jules kicks ball A from the stands with an initial velocity of 10 m/s. Jim is trying to intercept ball A by kicking a second ball B vertically with an initial velocity of 10m/s. When ball B hits ball A in point C, ball B was moving upward. Calculate the following:

a) Maximum height of ball A
b) Height of point C (where ball A and ball B meet)
c) Time between the two kicks

a) Maximum height of ball A

The maximum height occurs when the y component of the velocity is tangent the trajectory which means when it is equal to 0 m/s. Using the equation:

Therefore, the maximum height of ball A occurs after 0.656 s whcih corresponds to the folloqing height:

b)Height of point C

The two balls will meet at point C which corresponds to the point where ball A has covered a horizontal distance of 12m. The time it takes for ball A to do so is calculated as follows:

Therefore, it takes ball A 1.57s to cover 12m and reach point C.

Now, calculating the height of point C:

c)Time between the two kicks:

To determine the time elpased between the two kicks, I first detremined how long it would take ball B to reach the height of point C which was determined to be 2.02m.

With

Therefore the elapsed time between kicks is 1.57s-0.202s = 1.37s

I am wondering if what I have done is correct or is there anything I have misunderstood. Any comments would be greatly appreciated. Thank you.

Explanation / Answer

you have done absolutely correct. i have even calculated the value which comes exactly as you got. only t in last case i got around 0.2247 which is almost same. so nothing to be worry. its correct.

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