Question

If the balls time of flight is 10 seconds, what is the veetical component of its initial velocity

Answer 1

All right. Let's get a list of kinematic equations going on here.

`vf=vi+at`

`vf ^(2) =vi^(2) +2ax`

`x=vit+at^2/2`

What do we know?
a=gravity -9.8 m/s^2
vi=?
vf=?
x=0, since it's going up and then back down to where it started originally
t=10 s

Now, the most reasonable equation to go with would be the last one,
`x=vit+at^2/2`.

Let's plug some things in.

`0=(10)vi+(-9.8)(10)^2/2`

`490=10vi`

`vi=49`

Initial velocity equals 49 m/s upwards.