A grasshopper leaps into the air from the edge of a cliff at a 50 degree angle. He reaches a maximum height 6.74 cm above the top of the cliff and travels a total horizontal distance of 1.06 m. How tall is the cliff and what is the initial speed of the grasshopper?

  1. 👍
  2. 👎
  3. 👁
  1. Y^2 = Yo^2 + 2g*h = 0
    Yo^2 - 19.6*0.0674 = 0
    Yo^2 = 1.32
    Yo = 1.15 m/s = Ver. component of initial velocity.

    Yo = Vo*sin50 = 1.15
    Vo = 1.15/sin50 = 1.50 m/s = Initial

    Xo = Vo*Cos50 = 1.50*Cos50 = 0.964 m/s =
    Hor. component of initial velocity.

    Dx = Xo*T = 1.06 m.
    0.964*T = 1.06
    T = 1.10 s. = Fall time.

    h = 0.5g*T^2 - 0.0674 = 4.9*1.1^2 - 0.0674 = 5.60 m. = Ht. of the cliff.

    1. 👍
    2. 👎
  2. youre wrong. the cliff is 4.66m tall

    1. 👍
    2. 👎
  3. How?

    1. 👍
    2. 👎
  4. How

    1. 👍
    2. 👎
  5. give this question answer

    1. 👍
    2. 👎
  6. Nathan is right, it's 4.66 meters tall. Since we are trying to find Y, and we also have all the different components of the kinematic already, we simply do Y= 0+1.15(1.1)+1/2(-9.8)(1.1)^2 which yields the result of (after removing the negative because we just want to know the height) 4.66m.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions


    a policeman is pursuing a snatcher who is ahead by 72 of his own leaps. the snatcher takes 6 leaps while the cop takes 5 leaps, but 4 leaps of the snatcher are as long as 3 leaps of the cop. how many leaps will the cop make before

  2. physics

    A rock falls off the edge of a cliff and strikes the ground after 3.8 s. What is the height of the cliff? Assume air resistance is negligible

  3. physics

    A stone is thrown horizontally with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  4. math

    from a boat, the angle of elevation of the foot of a lighthouse on the edge of a cliff is 34 degrees. if the cliff is 150m high, how far from the base of the cliff is the boat

  1. physics

    A grasshopper jumps a horizontal distance of 1m from rest, with an initial velocity at a 45 degree angle with respect to the horizontal. Find the initial speed of the grasshopper and the maximum height reached.

  2. math

    A ball is thrown from the edge of a cliff with an initial velocity of 60·m/s upward. Answer the following questions using + (upward) and - (downward) to indicate the direction of the velocity. Ignore air resistance and assume the

  3. Physics

    A Honda Civic and Lincoln Town Car are initially at rest on a horizontal parking lot at the edge of steep cliff. The Town Car has twice as much mass as the Civic. Equal constant forces are applied to each car and they accelerate

  4. Physics

    A person standing at the edge of a seaside cliff kicks a stone over the edge with a speed of 12 m/s. The cliff is 52 m above the water’s surface, as shown. 12 m/s 52 m How long does it take for the stone to fall to the water?

  1. physics

    A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 12.6 m/s. The cliff is 49.1 m above a flat horizontal beach as shown in the figure. a.How long after being released does the

  2. Physics

    a stone is thrown at an angle of 30 degrees above the horizontal from the top edge of a cliff with an initial speed of 12m/s. a stop watch measures the stone's trajectory time from top of cliff to bottom to be 8s. how far out from

  3. Physics!!! :)

    A student of mass 78 kg wants to walk beyond the edge of a cliff on a heavy beam of mass 180 kg and length 10 m. The beam is not attached to the cliff in any way, it simply lays on the horizontal surface of the clifftop, with one

  4. physics

    A cannon, located 60.0 m from the base of a vertical 25.0 -m-tall cliff, shoots a 15-kg shell at 43.0 degrees above the horizontal toward the cliff. (a) What must the minimum muzzle velocity be for the shell to clear the top of

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