You set up a cannon on the edge of a cliff 400 m above a flat, sandy canyon floo

Question

You set up a cannon on the edge of a cliff 400 m above a flat, sandy canyon floor. There cannon balls are launched from the cannon with the same initial speed of 35 m/s, but at different angles. The cannon balls are identical except for their color. A red bal is launched horizontally, a white ball is launched at a 30 degree angle above the horizontal and a blue ball is launched at a 60 degree angle above the horizontal. We use that the magnitude of the acceleration due to gravity as 10 m/s2. We ignore air resistance. How long would it take for the red cannon to strike the canyon floor? (s) submk Answer Tries 0/2 When you compare flight times of the cannon balls, the order from minimum to maximum flight time is Red, blue, white White, blue, red Red, white, blue Blue, white, red sAnser Tries 0/2 When the white cannon ball reaches the apex, the Acceleration is not zero and its speed is not zero Acceleration is not zero and its velocity is zerc Acceleration is zero and its velocity is not zero Acceleration is zero and its speed is zero Submi Answer Tries 0/2 What is the acceleration of the red cannon ball while it is inside the cannon barrel, if the barrel is 2 m long? Submit Answer Tries 0/2 In comparing the maximum heights and ranges for the white and blue cannon balls, which of the following statements is true? The white ball has a smaller maximum height and a shorter range The white ball has a smaller maximum height but a longer range None of the above The blue ball has a smaller maximum height but a longer range The blue ball has a larger maximum height and a longer range Submit Answer Tries 0/2 What is the acceleration of the red cannon ball while it is inside the cannon barrel, if the barrel is 4.5 m long? Submit Answer Tries 0/2 Which of the three cannon balls will hit the ground with the greatest kinetic energy? Red White Blue They all hit the ground with the same kinetic energy None of the above Submit Answer Tries 0/2

Explanation / Answer

for the red ball :

consider the motion along the Y-direction

Voy = inityial velocity = 0

a = acceleration = - 10

t = time

Y = displacement = - 400 m

using the equation

Y = Voy t + (0.5) a t2

- 400 = (0) t + (0.5) (-10) t2

tred = 8.94 sec

for the white ball :

consider the motion along the Y-direction

Voy = inityial velocity = 35 Sin30

a = acceleration = - 10

t = time

Y = displacement = - 400 m

using the equation

Y = Voy t + (0.5) a t2

- 400 = (35 Sin30) t + (0.5) (-10) t2

twhite = 10.86 sec

for the blue ball :

consider the motion along the Y-direction

Voy = inityial velocity = 35 Sin60

a = acceleration = - 10

t = time

Y = displacement = - 400 m

using the equation

Y = Voy t + (0.5) a t2

- 400 = (35 Sin60) t + (0.5) (-10) t2

tblue = 12.5 sec

red white blue

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