A cannon fires a round horizontally from the top of a 500 m high mountain with a velocity of 350 m/s.
a. How long (time) does it take the round to hit the ground.
b. How far (distance) from the base of the mountain will it land?
(1) for time taken by round to heat the ground ( eglecting air friction)
h = vy*t - 1/2*g*t^2 vy = vertical speed = 0
-500 = 0*t-1/2*9.81*t^2
t = 10.10 s.
(b) The distance it covers before landing
d = vx*t where vx horizontal speed = 350 m/s
d = 350*10.10
=3533.73 m = 3.53 km.
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