Physics

posted by .

A ball is thrown toward a cliff of height h with a speed of 27m/s and an angle of 60 degrees above horizontal. It lands on the edge of the cliff 3.0s later.

What is the height of the cliff?
What is the maximum height of the ball?
What is the ball's impact speed?

Please provide the Formulas and steps!

Thank You!

  • Physics -

    Vo = 27m/s @ 60o
    Xo = 27*cos60 = 13.5 m/s.
    Yo = 27*sin60 = 23.4 m/s.

    Tr = (Y-Yo)/g = (0-23.4)/-9.8 = 2.39 s.=
    Rise time.

    hmax = Yo*t + 0.5g*t^2.
    hmax = 23.4*2.39 - 4.9*(2.39)^2=27.84 m.

    Tr + Tf = 3.0 s.
    2.39 + Tf = 3
    Tf = 3 - 2.39 = 0.61 s. = Fall time.

    h = hmax - 0.5g*Tf^2.
    h = 27.84 - 4.9*(0.61)^2 = 23.3 = Ht. of cliff.

    V = Vo + gt = 0 + 9.8*0.61 = 5.98 m/s.=
    Impact velocity of ball.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A rock is thrown from a cliff top at 18m/s, 25 degrees above the horizontal. It lands on the beach 4.2 seconds later. a) What is the height of the cliff?
  2. Physics

    A stone is thrown at an angle of 30 degrees above the horizontal from the top of a cliff with an initial speed of 12 m/s. If it hits the ground 4.6 seconds later, what is the height of the cliff?
  3. physic

    A ball is thrown toward a cliff of height h with a speed of 28m/s and an angle of 60∘ above horizontal. It lands on the edge of the cliff 3.3s later. a) How high is the cliff?
  4. physic

    A ball is thrown toward a cliff of height h with a speed of 28m/s and an angle of 60∘ above horizontal. It lands on the edge of the cliff 3.3s later. a) How high is the cliff?
  5. physic

    A ball is thrown toward a cliff of height h with a speed of 28m/s and an angle of 60∘ above horizontal. It lands on the edge of the cliff 3.3s later. a) How high is the cliff?
  6. Physic

    A ball is thrown toward a cliff of height h with a speed of 28m/s and an angle of 60∘ above horizontal. It lands on the edge of the cliff 3.3s later. a) How high is the cliff?
  7. Physics

    An arrow is shot from a height of 1.5 m toward a cliff of height . It is shot with a velocity of 30 m/s at an angle of 60 deg above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the cliff?
  8. Physics

    A ball is thrown from the ground toward a cliff of height h with a speed of 30.0 m/s and an angle of 60o above horizontal. It lands on the cliff 4.00 s later. How high is the cliff?
  9. Physics

    An arrow is shot from a height of 1.4 m toward a cliff of height H. It is shot with a velocity of 28 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.6 s later. a) What is the height of the cliff …
  10. Physics

    A ball is thrown toward a cliff of height h with a speed of 31 m/s and an angle of 60∘ above horizontal. It lands on the edge of the cliff 3.4 s later. What is the ball's impact speed?

More Similar Questions