Dock diving is a great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.52 m/s at an angle of 28°with respect to the surface of the water. (Assume that the +x axis is in the direction of the run and the y axis is up.)(a) If Sheba begins at a height of 0.83 m above the surface of the water, through what horizontal distance does she travel before hitting the surface of the water?m(b) Write an expression for the velocity of Sheba, in component form, the instant before she hits the water. (Express your answer in vector form.)V =m/s(c) Determine the peak height above the water reached by Sheba during her jump.mNeed Help?Read It

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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b) I(1, 0, 0), J(0, 1, 0), and K(0, 0, 1) 6, A helicopter takes off at a ground velocity of 150 km/h. It climbs at an angle of 48° toward the east. A 17-km/h wind is blowing from the south. Determine the resultant air and ground velocities. Include a diagram in your solution. The Eiffel Tower is 324 m tall. Denise is
Problem 8: A person is standing on top of a building. While standing at the edge of the building the person throws a water balloon downward with a speed of 24 m/s and at an angle of 36° below the horizontal. It takes 3.1 s for the water balloon to hit the person's friend. Part (a) How high is the building in meters? Numeric : A numeric value is expected and not an expression. h = Part (b) How fast is the water balloon moving when it hits the friend on the ground? Give your answer in m/s. Numeric : A numeric value is expected and not an expression. v= Part (c) What was the horizontal distance between the friend on the ground and the building in meters? Numeric : A numeric value is expected and not an expression. dx = %3!
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An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.
An object is thrown off the top of a building with velocity 36 m/s at an angle of 23° with respect to the horizontal. The object travels a horizontal distance of 260 m before landing on the ground. (a) How high is the building in meters? (b) What is the magnitude of the velocity of the object when it reaches the ground? (c) What is the direction of the object when it reaches the ground, in degrees from the positive x-axis?
Dock diving is great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.02 m/s at an angle of 25.0° with respect to the surface of the water. Sheba begins at a height of 0.840 m above the surface of the water. What is her total time of flight up until the instant before she hits the water? Express your answer in seconds.
You want to know the height of a cliff so you throw a rock off the edge with an initial speed of 24.7 m/s inclined at an angle 31.2° above the horizontal. You have a friend that records that it takes 4.6 s for the rock to hit the bottom of the canyon after it is thrown. For the following questions, call up the positive y direction and make the positive x direction horizontal and towards the direction the rock is thrown. If you ignore air resistance, what is the y component of the velocity of the rock right before it hits the ground?
Calculate the y-component of the acceleration vector a1, which has a magnitude of 26 m/s2 and has an angle below the positive x-axis of 29 degrees.
For this problem, you can think of the jet stream as a river of air. Across the United States, the jet stream usually moves from west to east. We will assume that the jet stream is moving in its usual direction at 9.00 x 101 km/hr. On a particular day, you need to pilot a plane from one city to another that is 4.50 x 102 km directly to the south. The top speed of the aircraft in still air is 285 km/hr. (a) Make a sketch to represent what is happening in this problem. Label all quantities that you know. (b) Using cardinal directions (north, east, south, west) to give a heading, which direction should you aim the plane to reach the city directly to the south at top speed? (c) How fast (in km/hr) would you be moving relative to the ground? (c) How much time (in hr) will it take you to reach your destination?
While playing ultimate Frisbee, you run north for 10m, then east for 30 m, and finally 34m in a direction 37° south of east. what is your total displacement during this run
In a castle, overlooking a river, a cannon was once employed to fire at enemy ships. One ship was hit by a cannonball at a horizontal distance of 150 m from the cannon as shown in the figure below. The height of the cannon above the river was 67 m and the cannonball was fired horizontally. Assume the air resistance was negligible. By calculation or scale drawing, find the magnitude and direction of the velocity of the cannonball just before it hit the ship.

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