Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
![v_f=v_o-g.t](https://tex.z-dn.net/?f=v_f%3Dv_o-g.t)
Where g is the acceleration of gravity ![g=9.8 m/s^2.](https://tex.z-dn.net/?f=g%3D9.8%20m%2Fs%5E2.)
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
![\displaystyle t=\frac{v_o-v_f}{g}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7Bv_o-v_f%7D%7Bg%7D)
Substituting:
![\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7B22-10%7D%7B9.8%7D%3D%5Cfrac%7B12%7D%7B9.8%7D)
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds