A toy cannon is in a large room with ceiling at a height 6 m. The cannon fires a ball at a speed of 26 m/s. What is the maximum range of the ball if it must not hit the ceiling during its flight.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A toy cannon is in a large room with ceiling at a height 6 m. The cannon fires a ball at a speed of 26 m/s. What is the maximum range of the ball if it must not hit the ceiling during its flight.

Expert Solution
Step 1

The maximum height of the object in projectile motion is,

H=u2sin2θ2gsin2θ=2gHu2sinθ=2gHu2

Substitute the values, to find the projectile angle.

sinθ=29.8 m/s26 m26 m/s2=0.417θ=sin-10.417=24.6°

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