Alex Morgan is going to kick a soccer ball into the Canadians goal during the 2015 world cup. Alex kicks the ball straight at the goal from 20.0 m away, and it launches off the ground at an 33.3 degree angle. Assume the goalie is busy faking an injury and ignore air resistance
a) what's the minimum initial speed that the soccer ball must have to reach the goal without touching the ground?
b)Assume Alex kicks the ball at the speed found in part a). if the Canadian goalie takes 5.00 sec to get back into position to be able to stop the ball, does Alex score the goal?
c) the top of the net is 2.44 m off the ground, what is the maximum initial speed that the soccer ball can have (when the ball leaves her foot at this angle) and not miss scoring?
The Attempt at a Solution
a) so for the x displacement.
20=0+(vicosθ)t, so t= 20/(vicosθ)
for the y displacement do i not have to calculate it because it's going to be 0? i was not given the y value until part c) so now i don't know where to go about solving for the y displacement.
Are these the correct formulas to be looking at to try and solve this problem?