A drag$-$free projectile is shot on a planet with a gravitational field strength $g=20\frac{N}{k}g.$ An object

is shot on that planet with a velocity of vec$(v)(t)=6\frac{m}{s}$hat$(i)+40\frac{m}{s}$hat$(j).$ Please find: a$)$ The max height reached,

b$)$ The minimum speed during the flight, c$)$ The landing site if assumed to have been launched from

the origin on level ground, and d$)$ The speed at landing.

Thank you