First, you will investigate purely vertical motion. The kinematics equation for vertical motion (ignoring air resistance) is given by y(t)=y0+v0t−(1/2)gt2y(t)=y0+v0t−(1/ 2)gt2, where y0=0y0=0 is the initial position, v0v0v_0 is the initial speed, and ggg is the acceleration due to gravity. Drag the cannon downwards so it is at ground level, or 0 mm (which represents the initial height of the object), then fire the pumpkin straight upward (at an angle of 90∘90∘) with an initial speed of 14 m/sm/s. How long does it take for the pumpkin to hit the ground?