Question

A soccer ball is kicked from the ground at an angle of è = 46 degrees with respect to the horizontal. The hang time of the ball is tm = 1.9 s.
What is the total horizontal distance traveled by the ball in meters?

Answer 1

distance = rate * time

d = 1.9 *initial speed * cos 46

now vertical problem
Vi = initial speed * sin 46
v = Vi - 9.8 t
at top
0 = Vi - 9.8* (1.9/2) time up is half total time
so
Vi = [ 4.9 * 1.9 ]
so
initial speed = [ 4.9 * 1.9 ]/sin 46
then go back to
d = 1.9 *initial speed * cos 46