a). Your horizontal speed doesn't change.
Your horizontal distance is . . .
(speed) x (time) = ( 6 m/s ) x ( 2s ) = 12 meters .
====================================
b). Your vertical motion is accelerated because of gravity.
Your vertical distance is . . .
(original vertical speed x time) + (1/2) (acceleration of gravity) (time)²
= ( 0 ) + (1/2) (9.81) (2)²
= 4.905 x 4 = 19.62 meters (a very high diving board indeed, like 64-ft !)
====================================
c). Your horizontal speed doesn't change.
It's still 6 m/s when you splash down.
====================================
d). Your vertical speed grows steadily, because of gravity.
It becomes 9.81 m/s greater every second.
After 2 seconds, your vertical speed is (2 s) x (9.81 m/s²) = 19.62 m/s downward
