In 1780, in what is now referred to as “Brady’s Leap,” Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running horizontally off the edge of the cliff above Ohio’s Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft. Tall tale, or possible? Figure P3.63 a. What is the minimum speed with which he’d need to run off the edge of the cliff to make it safely to the far side of the river? b. The world-record time for the 100 m dash is approximately 10 s. Given this, is it reasonable to expect Brady to be able to run fast enough to achieve Brady’s leap?
In 1780, in what is now referred to as “Brady’s Leap,” Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running horizontally off the edge of the cliff above Ohio’s Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft. Tall tale, or possible? Figure P3.63 a. What is the minimum speed with which he’d need to run off the edge of the cliff to make it safely to the far side of the river? b. The world-record time for the 100 m dash is approximately 10 s. Given this, is it reasonable to expect Brady to be able to run fast enough to achieve Brady’s leap?
In 1780, in what is now referred to as “Brady’s Leap,” Captain Sam Brady of the U.S. Continental Army escaped certain death from his enemies by running horizontally off the edge of the cliff above Ohio’s Cuyahoga River, which is confined at that spot to a gorge. He landed safely on the far side of the river. It was reported that he leapt 22 ft across while falling 20 ft. Tall tale, or possible?
Figure P3.63
a. What is the minimum speed with which he’d need to run off the edge of the cliff to make it safely to the far side of the river?
b. The world-record time for the 100 m dash is approximately 10 s. Given this, is it reasonable to expect Brady to be able to run fast enough to achieve Brady’s leap?
An engineer designs a roller coaster so that a car travels horizontally for 192 ft,then climbs 137 ft at an angle of 33.0° above the horizontal. It then moves 137 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)
An engineer designs a roller coaster so that a car travels horizontally for 202 ft, then climbs 137 ft at an angle of 34.0° above the
horizontal. It then moves 137 ft at an angle of 40.0° below the horizontal. If we take the initial horizontal motion of the car to be
along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures
and give the direction of your answer in degrees counterclockwise from the +x-axis.)
magnitude
ft
direction
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counterclockwise from the +x-axis
While exploring a cave, a spelunker starts at the
entrance and moves the following distances in a hori-
zontal plane. She goes 75.0 m north, 250 m east, 125 m
at an angle u 5 30.0° north of east, and 150 m south.
Find her resultant displacement from the cave
entrance. Figure P3.21 suggests the situation but is not
drawn to scale.
Chapter 3 Solutions
College Physics: A Strategic Approach (3rd Edition)
Human Physiology: An Integrated Approach (8th Edition)
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