Question

Two cannons with the same muzzle velocity of 100 m/s fire. One cannon aims at 40 degrees, the other aims at 60 degrees. Which cannon will fire further? You can assume flat ground for both cases.​

Answer 1

Below

Step-by-step explanation:

45 degrees will produce greatest downrange distance ...closer to 45 will win.

40 degree cannon will fire further.

Cannon1 vertical velocity = 100 sin 40 m/s

Vertical speed = vo - at Vertical speed is zero at onehalf of the time in flight (at the apex)

0 = 100 sin 40 - 9.81 t shows t = 6.55 s to max height

total flight time = 2 x 6.55 s = 13.1 s ( up and then down)

Horizontal component = 100 cos 40 m/s

for 13.1 s this would be :

100 cos 40 m/s * 13.1 s = 1004 m downrange

Doing similar for the second cannon (60 °) would result in 883 downrange distance