Answer:
The ball's speed will be 10 m/s at t=1.22 seconds
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:
[tex]v_f=v_o-g.t[/tex]
Where g is the acceleration of gravity [tex]g=9.8 m/s^2.[/tex]
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:
[tex]\displaystyle t=\frac{v_o-v_f}{g}[/tex]
Substituting:
[tex]\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}[/tex]
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
