A girl kicks her soccer ball with a velocity of 2m/s at an angle of 40 degrees with the horizontal. what is the total time? what is the ranger? and what is the max height of the ball?

Break up the initial velocity in to vertical and horizontal components.

hfinal=hinitial+Vivertical*time- 4.9t^2
solve for time in the air, t.

range?
dfinal=Vihorizontal*total time

max height?

at max height, vv=0
vv=0=vvinitial- g t
solve for t at max height
h= vivertial*t-4.9t^2