Joey kicks a football with an initial velocity of 42'/sec at an angle of 35 degrees to the horizon. what is the longest field goal he can make if the crossbar is 10' high?

Answer 1

at time t,
x = 42 cos35 t
y = 42 sin35 t - 16t^2 = 24t - 16t^2

y = 10 when
24t - 16t^2 = 10
16t^2 - 24t + 10 = 0

Houston, we have a problem. Are those numbers right?