Princess

1) A frog, sitting at the bottom of a pool, spies a lovely

princess sitting on a ledge directly above the pool. 1.8 m

The frog naturally wants to be with beautiful princess,

so it plans a jump (from the bottom of the pool, first

through the water, and then through the non-air)

that will land it on the ledge.

The pool is 7.2 meters deep, and the ledge is

1.8 meters above the water.

(Picture is NOT-TO-SCALE !)

If the frog spends a time of 1.8 seconds from the instant

it leaves the water until it lands on the ledge, find

water 7.2 m

a) the velocity of the frog at the surface of the water

b) the velocity with which it lands on the ledge

c) Using only your answers and calculations above,

decide if the frog was ever above the ledge during

the jump to the ledge from the water. Explain. Frog

The frog decelerates at a rate of 40 m/s² after it jumps up from the pool bottom.

d) Find the velocity the frog had in leaving the pool bottom.

(Significant penalties accrue if the sign of your velocity makes no sense!)

e) How long was frog in the water?

f) the graphs ! the graphs!

Explain briefly how you know that your graph has positive acceleration everywhere.