Kicked Soccer Ball

Kicked Soccer Ball#

Question Text#

At time \(t\) = 0 \(s\), a large soccer ball is kicked straight up into the air with an initial velocity \(\vec{v_0}\). Also at \(t\) = 0 \(s\), a small rocket fires its engines such that it is launched straight up into the air with a constant acceleration \(\vec{a}\). The rocket starts from rest. As shown in the figure, at \(t\) = 0 \(s\) the centres of the soccer ball and rocket have the same position.

../../../../../_images/Q6.png

At what time (other than \(t\) = 0), do the centres of the soccer ball and rocket once again have the same position? Give your answer in terms of \(v_0\), \(a\), and \(g\). Ignore air resistance.

Note that it may not be necessary to use every variable. Use the following table as a reference for each variable:

For

Use

\(v_0\)

v_0

\(a\)

a

\(g\)

g

Answer Section#

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.