uestion 2: #63     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 con-fined 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?  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?

Physics Question: Two bicyclists , starting at the same place , are riding toward the same campground by two different routes. One cyclist rides 1080 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north for 1950 m and then turns and heads directly toward the campground. (a) At the turning point , how far is the second cyclist from the campground ? (b) In what direction (measured relative to due east) must the second cyclist head during the last part of the trip ?

In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.50 km 45.0° north of west; then 4.20 km 60.0° south of east; then 1.50 km 25.0° south of west; then 5.30 km straight east; then 1.90 km 5.00° east of north; then 7.20 km 55.0° south of west; and finally 2.90 km 10.0° north of east. What is his final position relative to the island? (i.e., find the magnitude and direction of the displacement.) km at degrees South of East

The average distance of the earth from the sun is about 1.5 x 108 km (Figure 1). Assume that the earth's orbit around the sun is circular and that the sun is at the origin of your coordinate system. (a) Estimate the speed of the earth as it moves in its orbit around the sun. Express your answer in miles per hour with the appropriate number of significant figures. (b) Estimate the angle between the position vector of the earth now and what it will be in 4 months. (c) Calculate the distance between these two positions.

one afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.56 km. They start at the west side of the lake and head due south to begin with. (a) what is the distance they travel? (b) the magnitude of the couple's displacement? (c) what is the direction(relative to due east) of the couple's displacement?

Hiker Harry walks 4 km east then 7 km 25o north of west. What is the magnitude and direction of Harry’s position after his hike as measured from his starting point? Give the angle measured relative to east. For example 90° means directly north.

At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?  yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?

A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0° west of north from Atlanta. Figure P 3.22 shows the locations of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago.

You drive 7.50 km in a straight line in a direction 30° East of North. (a) Find the distances you would have to drive straight East and then straight North to arrive at the same point. (This is equivalent to finding the components of the displacement along the East and North directions.) km East km North (b) Show that you still arrive at the same point if the East and North legs are reversed in order. In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.5 km 45° north of west; then 4.70 km 60° south of east; then 5.1 km straight east; then 7.2 km 55° south of west; and finally 2.8 km 5° north of east. What is his final position relative to the island? km ° south of east Suppose you walk 18.0 m straight west and then 25.0 m straight north. Figure How far are you from your starting point? m What is the compass direction of a line connecting your starting point to your…

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