1.) A potato is shot off a 20 meter high rooftop. The potato leaves the cannon traveling 50 m/s horizontally. How far did the potato fly?

Explanation:

Find the time it is in the air.

See the comments below. I'm going to restrict the question to horizontal distance.

If you just drop the potato, then the height is 20 meters

The acceleration due to gravity is 9.81

The starting speed (vi ) = 0

Formula

d = vi * t + 1/2 a t ^2

Solution

20 = 0 + 1/2 9.81 * t^2

20  = 1/2 9.81 * t^2

20 = 4.905 t^2

20/4.905 = t^2

t^2 = 4.077

sqr(t^2)= sqr(4.077)

t = 2.02

Find the distance travelled horizontally

There is no acceleration horizontally so you use d = r * t

r = 50 m/s

t = 2.02

d = 50 * 2.02

d = 101 meters.