Suppose that a ball is thrown straight up in the air, and that a second ball is thrown straight upward two seconds after the first. It reaches the same maximum height as the first ball, which is 6.00 m. a. What is the position of the first ball as a function of time, y1(t)? Take the initial height of the ball as y0 = 0. b. What is the position of the second ball as a function of time, y2(t)? Take the initial height of the ball as y0 = 0. c. Draw a y − t diagram of y1(t) and y2(t). Label the max heights, time to max height for the first ball, and note the point corresponding to the time and height of passing. d. When do the balls pass each other in the air? Assume the balls are being throw up adjacent to each other. e. At what height above y0 = 0 do the balls pass each other? f. Can you find the time of passing by just using the y − t diagram?

Suppose that a ball is thrown straight up in the air, and that a second ball is thrown straight upward two seconds after the first. It reaches the same maximum height as the first ball, which is 6.00 m. a. What is the position of the first ball as a function of time, y1(t)? Take the initial height of the ball as y0 = 0. b. What is the position of the second ball as a function of time, y2(t)? Take the initial height of the ball as y0 = 0. c. Draw a y − t diagram of y1(t) and y2(t). Label the max heights, time to max height for the first ball, and note the point corresponding to the time and height of passing. d. When do the balls pass each other in the air? Assume the balls are being throw up adjacent to each other. e. At what height above y0 = 0 do the balls pass each other? f. Can you find the time of passing by just using the y − t diagram?

Name: Suppose that a ball is thrown straight up in the air, and that a secon
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: Suppose that a ball is thrown straight up in the air, and that a secondball is thrown straight upward two seconds after the first. It reaches thesame maximum height as the first ball, which is 6.00 m.a. What is the position of the first ball as a fun

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

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 53P

See similar textbooks

Similar questions

Suppose that a ball is thrown straight up in the air, and that a secondball is thrown straight upward two seconds after the first. It reaches thesame maximum height as the first ball.a. What is the position of the first ball as a function of time, y1(t)?Take the initial height of the ball as y0 = 0.b. What is the position of the second ball as a function of time, y2(t)?Take the initial height of the ball as y0 = 0.c. Draw a y − t diagram of y1(t) and y2(t). Label the max heights, timeto max height for the first ball, and note the point corresponding to thetime and height of passing.d. When do the balls pass each other in the air? Assume the balls arebeing throw up adjacent to each other.e. At what height above y0 = 0 do the balls pass each other?f. Can you find the time of passing by just using the y − t diagram?
a student stands at the edge of a cliff and throws a stone horizontally with a speed of v0=18.5 m/s. the cliff is h=49.o m above a flat, horizontal beach. (a) what are the coordinates in the initial position of the stone in xo and yo? (b) what are the components of the initial velocity? in vox and voy? (d) write the equations for the position with time, using the coordinates with x and y? (c) write the equations for the x- and y-b components of the velocity? (e) how long after being released does the stone strike the beach below the cliff? (e) with what speed and angle of impact do the stand land?
A tennis ball is thrownvertically up and reached a maximum height of 45.6 m relative to the ground. Ifthe boy who threw the ball is on top of 43 m building, a) what was the initial velocity of the ball?b) what is the total time of flight of the ball if it missed the top of thebuilding and continuously fell to the ground? c) what is the balls final velocity before it reaches the ground?
The position function of a particle of motion on a straight line is given by: s(t) = (1/3)t3 – (5/2)t2 + 4t + 1 a.) What is the starting position of the particle? b.) On what interval(s) is the particle moving to the right? c.) On what interval(s) is the particle moving to the left? d.) At what time(s) is the particle at rest? e.) What is the position of the particle when it is at rest? f.) How far did the particle travel in the first 5 seconds? g.) Draw the particle motion on a horizontal line.
Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45° with respect to the 50-yard line and covers 8.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1 = 0 to t2 = 12.0 s, the rhino’s average velocity has x-component -3.8 m/s and y-component 4.9 m/s. At time t2 = 12.0 s, (a) what are the x- and y-coordinates of the rhino? (b) How far is the rhino from the origin?
A football quarterback is moving straight backward at a speed of 2.00 m/s when he throws a pass to a player 18.0 m straight downfield. (a) If the ball is thrown at an angle of 25° relative to the ground and is caught at the same height as it is released, what is its initial speed relative to the ground? (b) How long does it take to get to the receiver? (c) What is its maximum height above its point of release?
A particle’s acceleration is (4.0iˆ+3.0jˆ)m/s2.(4.0i^+3.0j^)m/s2. At t = 0, its position and velocity are zero. (a) What are the particle’s position and velocity as functions of time? (b) Find the equation of the path of the particle. Draw the x- and y-axes and sketch the trajectory of the particle.
Sitting in a second-story apartment, a physicist notices a ballmoving straight upward just outside her window. The ball is visible for 0.25 s as it moves a distance of 1.05 m from the bottom tothe top of the window. (a) How much time does it take before theball reappears? (b) What is the greatest height of the ball abovethe top of the window?
A seagull can fly at a velocity of 9.00 m/s in still air. (a) If it takes the bird 20.0 min to travel 6.00 km straight into an oncoming wind, what is the velocity of the wind? (b) If the bird turns around and flies with the wind, how long will it take the bird to return 6.00 km?
An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity u, as a function of time is given by vx(t) = at - Bt³, where a = 8.0 m/s² and 3 = 4.0 m/s4. (a) At what nonzero time t is the object again at x = 0? (b) At the time calculated in part (a), what are the velocity and acceleration of the object (magnitude and direction)?
Given the displacement vector ? =[3.1?2, 2.0?, 0]:(a) what is the position of the object at time? = 2.1 ? assuming the object started at theorigin?(b) what is the distance the object has traveled at? = 2.1 ??(c) what is the velocity of the object as a functionof time?(d) what is the velocity of the object at ? = 0, ? =2.1 ? and ? = 4.2 ??(e) what is the speed of the object at the timesgiven in part (d). Are the speed evenly spaced?Would you expect this? Why or why not?(f) what is the acceleration of the object at? = 0, ? = 2.1 ? and ? = 4.2 ??