An object rolls off a tabletop with a horizontal velocity Vox = 12 m/s. The table is at a height yo = 0.65 m above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, it’s horizontal x-axis lying directly beneath the objects trajectory, and it’s vertical y-axis pointing up. a. How long, in seconds, is the object falling before it hits the floor? b. What’s the horizontal distance, in meters from the edge of the tabletop to where the object lands? c. What is the vertical component of velocity, in meters per second, when the object hits the ground?

An object rolls off a tabletop with a horizontal velocity Vox = 12 m/s. The table is at a height yo = 0.65 m above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, it’s horizontal x-axis lying directly beneath the objects trajectory, and it’s vertical y-axis pointing up. a. How long, in seconds, is the object falling before it hits the floor? b. What’s the horizontal distance, in meters from the edge of the tabletop to where the object lands? c. What is the vertical component of velocity, in meters per second, when the object hits the ground?

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 5P: A fish swimming in a horizontal plane has velocity vi=(4.00i+1.00j)m/s at a point in the ocean where...

See similar textbooks

Similar questions

A particle moves along a path, and its speed increases with time. (i) In which of the following cases are its acceleration and velocity vectors parallel? (a) when the path is circular. (b) when the path is straight. (c) when the path is a parabola. (d) never. (ii) From the same choices, in which case are its acceleration and velocity vectors perpendicular everywhere along the path?
A fish swimming in a horizontal plane has velocity vi=(4.00i+1.00j)m/s at a point in the ocean where the position relative to a certain rock is ri=(10.0i4.00j)m. After the fish swims with constant acceleration for 20.0 s, its velocity is v=(20.0i5.00j)m/s. (a) What are the components of the acceleration of the fish? (b) What is the direction of its acceleration with respect to unit vector i? (c) If the fish maintains constant acceleration, where is it at t = 25.0 s and in what direction is it moving?
An arrow is shot from a height of 1.75 m toward a cliff of height H. It is shot with a velocity of 32 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.65 s later.a. what is the maximum height reached by the arrow along its trajectory in meters?b. what is the arrows speed just before hitting the cliff in m/s?
An object rolls off a tabletop with a horizontal velocity vox=16 m/s. The table is table is at a height yo=1.7 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath thte object's trajectory, and its vertical y-axis pointing up. a. How long, in seconds, is the object falling before it hits the floor? b. What's the horizontal distance, in meters, from the edge of the tabletop to where the object lands? c. what is the vertical component of velocity, in meters per second, when the object hits the ground? d. What is the magnitude of the velocity (its speed) when it hits the floor?
An object rolls off a tabletop with a horizontal velocity Vx,0=4 m/s. The table is at a height y0=0.45 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object's trajectory, and its vertical y-axis pointing up.a.how long in seconds is the object falling before it hits the floor?b. what's the horizontal distance in meters from the edgeof the tabletop to where the object lands?c. what is the vertical component of velocity in m/s when the object hits the ground?d. what is the magnitude of the velocity when it hits the floor?
An object rolls off a tabletop with a horizontal velocity v0x = 2.1 m/s. The table is at a height y0 = 0.75 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up. A. How long, in seconds, is the object falling before it hits the floor? B.How far, in meters, does the object land from the edge of the tabletop? C. What is the vertical component of velocity, in meters per second, when the object hits the ground? Recall that the positive y-direction is upwards. D. What is the magnitude of the velocity (it's speed) when it hits the floor?
You are traveling to the North-East at 50 m/s. Simultaneously you are being pushed towards the East at a speed of 10 m/s. a. If you proceed in this manner for 10 minutes, what is the displacement vector from the t=0 location? b. How far do you travel in the East direction during these 10 mins.?
A soccer goal is 2.44 m high. A player kicks the ball from a horizontal distance of 9.7 m from the goal, and the ball hits the crossbar at the top of the goal. The launch angle was 24.8 degrees above horizontal. a. What was the initial speed of the ball, in m/s.?
ADog starts at the origin and moves with the speed of vo = 20 cm/s in the direction of 45° to the horizontal. a. Find the coordinates of a Dog 10 seconds later. b. How far did the Dog walk after 10 seconds?
Two spheres are launched horizontally from a 1.2 mm -high table. Sphere AA is launched with an initial speed of 4.5 m/sm/s . Sphere BB is launched with an initial speed of 2.5 m/sm/s . A. What is the time for the sphere AA to hit the floor? Express your answer using two significant figures. B. What is the time for the sphere BB to hit the floor? Express your answer using two significant figures.
An object is thrown off the top of a building with velocity 32 m/s at an angle 34 degrees with respect to the horizontal. It takes 6.2 s for the object to land. a. How high is the building in meters? b. What is the horizontal distance that the object travels in meters?
The problem relates to the gliding flight of flying squirrels. These squirrels glide from tree to tree at a constant speed, moving in a straight line tipped below the vertical and steadily losing altitude as they move forward. Short and long glides have different profiles. A squirrel in a typical long glide covers a horizontal distance of 16 m while losing 8.0 m of elevation. During this glide,a. What is the angle of the squirrel’s path below the horizontal?b. What is the total distance covered by the squirrel?