Physical science

ONE SECOND after ball A is projected upwards with a velocity of 16 m/s, a second ball, B, is thrown vertically downwards at a velocity of 9 m/s from a balcony 30 m above the ground.

1.Calculate how high above the ground ball A will be at the instant the two balls pass each other?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. The distance covered by the 1st ball for 1 second is
    hₒ=vₒ₁t - gtₒ²/2 =16•1 -9.8•1²/2 = 16 -4.9 = 11.1 m (above the ground)
    Its speed at this height is
    v= vₒ₁ - gtₒ=16-9.8•1=6.2 m/s.

    h=H-hₒ=30-11.1=18.9 m
    Now to balls separated by distance ‘h’ are moving towards each other

    h₁=vt- gt²/2,
    h₂=vₒ₂t + gt²/2,
    h= h₁+h₂=vt- gt²/2+ vₒ₂t + gt²/2 = vt+ vₒ₂t = (v+ vₒ₂)t.

    t= h/(v+ vₒ₂)=18.9/(6.2+9) = 18/9/15.2=1.24 s.

    h₁=vt- gt²/2 =6.2•1.24 -9.8•1.24²/2= =7.688 -7.534=0.154 m
    The height above the ground is eaqual to hₒ+h₁=
    = 11.1+0.154 = 11.254 m

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. Your answer was effective

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    A golf ball was hit and projected in an angle of 60 degrees with the horizontal. if the initial velocity of the ball was 50m/s, calculate the following: a. the time the golf ball was in the air b. horizontal distance the ball

  2. Physics

    a basketball is thrown upwards on an arc at a 60 degree angle with the horizontal.If the velocity of the ball is 5m/s How fast must the thrower run to catch the ball after it is released

  3. calculus

    A ball is thrown vertically upwards from a height of 6 ft with an initial velocity of 60 ft per second. How high will the ball go? Note that the acceleration of the ball is given by a(t)= 32 feet per second per second.

  4. Physics

    A ball is projected upward at time t= 0.0s, from a point on the roof 10m above the ground. The ball rises, then falls until it strikes the ground. The initial velocity of the ball is 58.5 m/s. At time t=5.97s, what is the

  1. physical

    a ball that was projected up at an angle of θ degrees with the horizontal has a flight time of 5.0s and covers a range of 49.0 m. find (a) the time it took to reach maximum height, (b) the horizontal and vertical components of

  2. science

    A golf ball was hit and projected at an angle of 75 degree with the horizontal. If the initial velocity of the ball was 40 m/s A. time t the golf ball was on air, find the following B. horizontal distance dx the ball travelled C.

  3. Physics

    A stone is projected vertically upwards with a velocity of 20m/s. 2s later another stone is similarly projecte? with the same velocity. when the two stones meet the second one is rising at a velocity of 10m/s.neglecting air

  4. Physics

    A ball thrown vertically upwards is caught by the thrower 8 seconds afterwards . (take g =10) When the ball is caught by the thrower: what is its displacement from the initial position? b) what is the initial velocity? c) To what

  1. science

    A golf ball was hit and projected at an angle of 65° with the horizontal. If the initial velocity of the ball was 60m/s.Calculate the time the golf ball was in the air and the horizontal distance the ball travelled

  2. physics

    a ball projected vertically upwards from the top of the tower 60 meters high with a velocity of 30 meters per second. what is the maximum height above the ground? how long does it take to reach the ground?

  3. physics

    A small ball is thrown vertically upwards with an initial velocity of 40m/s. Find:(1) its velocity after moving 3 seconds(2) the maximum heigh attained(3) the time to attain the maximum height(4)the total time taken for the ball

  4. Biomechanics

    A ball is thrown vertically upwards in the air at a velocity of 50(m/s) and reaches a maximum height of 20(m). Calculate the time when the ball reaches the 10(m) mark, while going up and coming down. Use the following equation of

View more similar questions or ask a new question.