A Projectile from a Cliff. Practice Quiz 3 # 10 A cannon is at the top of a cliff, 150 meters high. The cannon fires a shell at an angle of 20° above.

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Presentation transcript:

A Projectile from a Cliff

Practice Quiz 3 # 10 A cannon is at the top of a cliff, 150 meters high. The cannon fires a shell at an angle of 20° above the horizontal. The speed of the shell is 300 m/s as it leaves the muzzle of the cannon. How far from the base of the cliff does the shell land? v 1 = 300 m/s v 1x = 300 cos 20° = 282 m/s v 1y = 300 sin 20° = 103 m/s

Time to Top of Trajectory HorizVert v a 0 −10 v t = (v 2 − v 1 )/ a = 10.3 v̄ s v̄∙t=2890 v̄∙t=676

To the Top Doubling

Two Students Time from top to ground ? s = v 1 t + ½at 2 − 876 = 0 + ½ (−10) t 2 t 2 = −876 / (−5) = t = √175.2 = 13.3

The Whole Trip Horizontal Calculation s x = v̄ ∙ t = 282 ∙ 23.6 = 6653 meters