A stone is thrown horizontally at a speed of 14 m/s from the top of a cliff. The stone lands at the bottom of the cliff after falling for 3.2 sec. How high is the cliff?
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speed = distance/time
the stone makes an arc path.
the distance stone traveled, or the arc length = 14*3.2 = 44.8 m
Now consider an arc section, a vertical line represents the cliff, arc represents the line of travel of the stone. horizontal line is the ground. the angle between the cliff and the ground is 90°.
arc = radius*angle
angle = 90°
radius = 44.8/90
the stone makes an arc path.
the distance stone traveled, or the arc length = 14*3.2 = 44.8 m
Now consider an arc section, a vertical line represents the cliff, arc represents the line of travel of the stone. horizontal line is the ground. the angle between the cliff and the ground is 90°.
arc = radius*angle
angle = 90°
radius = 44.8/90
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