15. A skateboarder shoots off a ramp with a velocity of 6.6 m/s, directed at an angle of 58° above the horizontal. The end of the ramp is 1.2 m above the ground. Let the x axis be parallel to the ground, the +y direc- tion be vertically upward, and take as the origin the point on the ground directly below the top of the ramp. (a) How high above the ground is the highest point that the skateboarder reaches? (b) When the skateboarder reaches the highest point, how far is this point horizontally from the end of the ramp?

15. A skateboarder shoots off a ramp with a velocity of 6.6 m/s, directed at an angle of 58° above the horizontal. The end of the ramp is 1.2 m above the ground. Let the x axis be parallel to the ground, the +y direc- tion be vertically upward, and take as the origin the point on the ground directly below the top of the ramp. (a) How high above the ground is the highest point that the skateboarder reaches? (b) When the skateboarder reaches the highest point, how far is this point horizontally from the end of the ramp?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 39AP: A rocket is launched at an angle of 53.0 above the horizontal with an initial speed of 100. m/s. The...

See similar textbooks

Similar questions

In the Olympic shotput event, an athlete throws the shot with an initial speed of 11.6 m/sm/s at a 40.0 ∘∘ angle from the horizontal. The shot leaves her hand at a height of 1.80 mm above the ground.
Eddie Manalak is a Filipino stuntman, he wishes to cross the 520m distance between two tall buildings by being shot from a cannon. He wishes to be launched at 60° to the horizontal so that he can spend more time in waving to the crowd. With what speed must he be launched? ANS. 76.7 m/s
A ball is thrown from the top of a 35 meter high tower at a velocity of 60 m/s and at an angle of 25o above the horizontal. How far from the base of the tower does the ball land?
To start an avalanche on a mountain, an artillery shell is fired from 1250 m from the base of the mountain at 300 m/s, 55.0°. What are its coordinates 9.0 seconds later? Where does it hit on the mountain? If you are unable to answer, draw a diagram showing why.
In the Superbowl, a quarterback throws a football while standing at the very center of the field on the 50 yard line. The ball leaves his hand at a height of 5 ft and has initial velocity of ~v(0) =< 40, 35, 32 > ft/sec. Assume an acceleration of 32 ft/sec2 due to gravity, i.e., ~a(t) =< 0, 0, −32 >, and that the vector ~i points down fieldtoward the endzone and that the vector ~j points to the sideline. The field is 150 ft in width and 300 ft in length.(a) Determine the position function that gives the position of the ball t seconds after it isthrown. (b) The ball is caught by a player 5 ft above the ground. Is the player in bounds or out ofbounds when he receives the ball? (Assume the player is standing vertically with bothtoes on the ground at the time of reception.)
A ball is thrown from the top of a 35 meter high tower at a velocity of 60 m/s and at an angle of 25o above the horizontal. How far from the base of the tower does the ball land? What is its velocity just as it strikes the ground?
Cuban tree frogs are skilled jumpers. They can launch themselves at 4.5 meters per second at an angle of 26o above horizontal. Assuming the frog is jumping on level ground, what is the maximum height above the ground that the frog will achieve? 0.95 m 1.2 m 0.20 m 0.61 m
A ball is launched with an initial velocity of 44.1 meters per second, at an angle of 34.4o above horizontal. At the peak of its trajectory, what are the components of the ball's velocity vector? ��→=24.9 m/s, ��→=0 m/s ��→=36.4 m/s, ��→=0 m/s ��→=−24.9 m/s, ��→=36.4 m/s ��→=36.4 m/s, ��→=24.9 m/s
A cargo plane is flying horizontally at an altitude of 11.6 km with a speed of 870 km/h when a battle tank falls out ofthe loading ramp. How far horizontally is the tank from where it fell off when it hits the ground assuming that the planecontinues to fly with constant velocity? Ans. _____km??
You launch a ball from a height of 10.0 m so that the horizontal component of its launch (initial) velocity is 2.183 m/s. If it lands on the ground (yf = 0.00 m) a distance of 4.831 m away, what was the original launch velocity (magnitude and angle above the horizontal)?
A squirrel is launched due west from a height of 10 meters with an initial velocity of 80 meters per second atan angle of 60 degrees above horizontal. A strong wind blowing directly out of the north causes the squirrel toaccelerate south at a rate of 2 m/s^2. All of this takes place in my backyard where acceleration due to gravity is 7 m/s2 (a) With the positive y–axis oriented north, the positive x–axis oriented east, and the positive z–axis up into the sky, findthe vector equation for the path of the squirrel. (b) Find the time when the squirrel is at her maximum height.
A projectile is launched at ground level with an initial velocity of 11.6 m/s at an angle of 31.0o above the horizontal ground. How high does it reach before falling back down to the ground? Give your answer with the correct SI unit.