# Fire up the hill

You have a potato cannon, located 30 m from the start of a hill. The hill is inclined at $\theta = \pi/6$ radians, and your cannon fires potatoes with $v_0 = 40$ m/s. If you want to hit a target located 80 m up the hill (measured along the hill), what is the smallest angle, $\phi_\text{min}$, to which you can set your cannon (in radians)?

Details

• $g = 9.81$ m/s
×