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006 A 0.97 kg rock is projected from the edge of the top of a building with an i

ID: 1884718 • Letter: 0

Question

006 A 0.97 kg rock is projected from the edge of the top of a building with an initial velocity of 8.42 m/s at an angle 41° above the horizontal. Due to gravity, the rock strikes the ground at a horizontal distance of 12.6 m from the base of the building. 12.6 in How tall is the building? Assume the ground is level and that the side of the build- ing is vertical. The acceleration of gravity is 9.8 m/s2 Correct answer: 8.31129 m. Cannon 07 007 t A projectile of mass 0.616 kg is shot from a cannon. The end of the cannon's barrel is at height 6.7 m, as shown in the figure. The initial velocity of the projectile is 8.2 m/s The projectile rises to a maximum height of y above the end of the cannon's barrel and strikes the ground a horizontal distance Aa past the end of the cannon's barrel.

Explanation / Answer

6.

Considering motion along horizontal

R= u cos x* t

12.6= 8.42* cos 41* t

t= 1.983 s

Considering motion along vertical

h= u sin x *t -0.5gt^2

= - 8.42 sin 41* 1.983 + 4.9* 1.983^2

= 8.31129 m

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