dynamics

A ball is thrown so that the motion is defined by the equations x= 5t and y= 2+6t-4.9t^2, where x and y are expressed in meters and t is expressed in seconds. Determine (a) the velocity at t=1s, (b) the horizontal distance the ball travels before hitting the ground

  1. 👍
  2. 👎
  3. 👁
  1. the velocity is constant in the x-direction ... dx/dt = 5 m/s

    the velocity in the y-direction is time dependent ... dy/dt = 6 - 9.8 t m/s

    (a) plug in t = 1 , and add the x and y velocity vectors

    (b) set y=0 and solve for t , plug the result into the x equation

    1. 👍
    2. 👎
  2. a. 5.88 m/s

    b. 7.5 m

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. science

    a ball is thrown straight upward and returns to the thrower's hand after 3.00s in the air. A second ball is thrown at an angle of 30.0 deg with the horizontal. At what speed must the second ball be thrown so that it reached the

  2. phy

    A blue ball is thrown upward with an initial speed of 20.6 m/s, from a height of 0.8 meters above the ground. 2.5 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 8.2 m/s from a height of

  3. Physics

    A red ball is thrown down with an initial speed of 1.3 m/s from a height of 28.0 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 24.7 m/s, from a

  4. Physics

    A ball is thrown straight upward and returns to the thrower's hand after 2.30 s in the air. A second ball is thrown at an angle of 42.0° with the horizontal. At what speed must the second ball be thrown so that it reaches the

  1. Physics, projectile motion

    A ball is thrown so that its initial vertical and horizontal components of velocity at 40 m/s and 20 m/s, respectively. Use a motion diagram to estimate the ball’s total time of flight and the distance it traverse before hitting

  2. Physics

    A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, a ball dropped from rest from a building 15 m high. After how long will the balls be at the same height? The equations I have is final

  3. Physics

    A ball is thrown horizontally from a platform so that the initial height of the ball is 6.0 m above the level ground below. The ball lands 24 m from its original horizontal location. Find how fast the ball was thrown. Show work i

  4. Physics

    Kevin stands at the edge of a cliff, holding one ball in each hand. He throws one of the balls straight up with speed v, and at the same time he throws the other ball straight down, also with speed v. Ignoring air resistance,

  1. Physics

    A ball is thrown horizontally from a platform so that the initial height of the ball is 6.0 m above the level ground below. The ball lands 24 m from its original horizontal location. Find how fast the ball was thrown. Show work i

  2. Physics

    A ball is thrown horizontally from the top of a building 55.4 m high. The ball strikes the ground at a point 65 m from the base of the building. The acceleration of gravity is 9.8 m/s2 . Find the time the ball is in motion in

  3. physics

    A ball is thrown vertically up from the edge of a 150 m building with a veloicty of 10m/s. (A) how high did the ball rise? (b) how much time did it take fort he ball to reach this height ? (C) what is the velocity oft he ball as

  4. physics

    A ball is thrown straight upward and returns to the thrower's hand after 2.20 s in the air. A second ball is thrown at an angle of 31.0° with the horizontal. At what speed must the second ball be thrown so that it reaches the

You can view more similar questions or ask a new question.