The drawing shows a skateboarder moving at 7.40 m/s along a horizontal section of a track that is slanted upward by θ = 47.0° above the horizontal at its end, which is 0.510 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.

The drawing shows a skateboarder moving at 7.40 m/s along a horizontal section of a track that is slanted upward by θ = 47.0° above the horizontal at its end, which is 0.510 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 2OQ

See similar textbooks

Similar questions

A water slide is constructed so that swimmers, starting from rest at the top of the slide, leave the end of the slide traveling horizontally. As the drawing shows, one person hits the water 5.00 m from the end of the slide in a time of 0.286 s after leaving the slide. Ignore friction and air resistance, find the height H in the drawing.
The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 5.4 m/s. Neglect nonconservative forces, such as friction and air resistance, and find the height h of the highest point reached by the skateboarder on the right side of the ramp. m
A skier, with initial speed of 2.0 m/s slides down a smooth inclined plane of length 20.0 m in 2.5 s. At what angle is the plane inclined with respect to the horizontal?
The skateboarder starts down the left side of the ramp with an initial speed of 6.3 ft/s. If nonconservative forces, such as kinetic friction and air resistance, are negligible, what would be the height "h" of the highest point (in meters) reached by the skateboarder on the right side of the ramp?
A student at the top of a building of height h throws one ball upward with a speed of vi and then throws a second ball downward with the same initial speed vi. Just before it reaches the ground, is the final speed of the ball thrown upward (a) larger, (b) smaller, or (c) the same in magnitude, compared with the final speed of the ball thrown downward?
A water slide is connected so that a swimmer, starting from rest at the top of the slide, leaves the end of the slide travelling horizontally. one person hits the water 6m from the end of the slide in a time 0.4 seconds after leaving the slide. ignoring friction and air resistance, find the height H. b) how does the answer change if the swimmer leves the end at an angle of 10 degrees above the horizontal?
A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.73 m. With the string hanging vertically, the object is given an initial velocity of 1.2 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle ? with its initial vertical orientation and then swings back downward. Find the angle ?.
A man on a motorcycle plans to make a jump as shown in the figure. If he leaves the ramp with a speed of 34.5 m/s and has a speed of 32.5 m/s at the top of his trajectory, determine his maximum height (h) (in m) above the end of the ramp. Ignore friction and air resistance. _____________ m
A box is shoved up a frictionless incline with an initial speed of 13 m/s. The inclined plane makes an angle of 35 degrees with respect to the horizontal. The length of the incline is 60 m. How far above the ground Is the box when it comes to rest? Options for answers: a. 12.3 m b. 8.6 m c. 15.1 m d. 10.5 m
A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.76 m. With the string hanging vertically, the object is given an initial velocity of 1.5 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle θ with its initial vertical orientation and then swings back downward. Find the angle θ.
The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 6.3 ft/s. If nonconservative forces, such as kinetic friction and air resistance, are negligible, what would be the height "h" of the highest point (in meters) reached by the skateboarder on the right side of the ramp?
A skier leaves the top of a slope with an initial speed of 5.0 m/s. Her speed at the bottom of the slope is 13 m/s. What is the height of the slope?