1) A T-shirt cannon at a basketball game launches shirts to the upper level at 55 m/s with an angle of 52 degrees. Find the height (dy) of the seats if it takes 4.5 seconds to land in the seats.

2) A soccer ball is kicked on a flat field by the goalie at an initial velocity of 22 m/s and an angle of 30 degrees. How far downfield does it land ?

1 answer

1. Vo = 55m/s[52o].
Xo = 55*Cos52 = 33.9 m/s.
Yo = 55*sin52 = 43.3 m/s.

h = Yo*t + 0.5g*t^2 =
g = -9.8 m/s^2.
h = ?.

2. Range = Vo^2*sin(2A)/g.
Vo = 22 m/s.
A = 30o.
g = 9.8 m/s^2.