A tennis ball is thrown vertically down ward from a height of 30m to hit the top of man’s head. If the height of the man is 3.5m tall, what is the time taken for the ball to hit the top of the man’s head? Take g = 10m/s^2

thrown down? with what speed?

If it was just dropped (v=0) then
just solve for t in
30 - 5t^2 = 3.5
If it was thrown with speed v, then you have to solve
30 - vt - 5t^2 = 3.5