1. Questions

Physics

An arrow is shot at an angle of above the horizontal. The arrow hits a tree at an angle 45 degrees horizontal distance D = 220 away, at the same height above the ground as it was shot. Use g = 9.8 for the magnitude of the acceleration due to gravity.

Find t_a, the time that the arrow spends in the air.

Suppose someone drops an apple from a vertical distance of 6.0 meters, directly above the point where the arrow hits the tree.

How long after the arrow was shot should the apple be dropped, in order for the arrow to pierce the apple as the arrow hits the tree?

Please provide formulas and numeric answers
Thank You!

  1. 👍
  2. 👎
  3. 👁
Nami

  1. at 45degrees, the final vertical velocity is the same as the horizontal velocity. So the same applies to launch.
    Horizontal analysis:
    distance=Vhorizontal*timeinair.
    220=Vhorizontal*time
    time=220/Vh

    Vertical analysis:
    hf=hi+Vv*t-1/2 g t^2
    0=0+Vv*220/Vh-4.9 (220/Vh)^2
    because Vv=Vh
    220=4.9*220^2/Vh^2
    solve for Vh
    then, solve for timeinair from the first equation.

    How long does it take for the apple to fall? 6=gt or t=6/g
    subtract that from the time in air above, and you have the time after launch for the apple to be released.

    1. 👍
    2. 👎
    👤
    bobpursley

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    an arrow is shot at a 30 degree angle with the horizontal. it has a velocity of 49 m/s how high will the arrow go? what horizontal distance will the arrow travel? and how long will the arrow be in the air?

  2. physics

    A 88g arrow is shot from a bow whose string exerts an average force of 110n on the arrow over a distance of 78cm.What is the speed of the arrow as it leaves the string?

  3. algebra

    an arrow is shot into the air with an initial velocity of 96 feet per second. the height in feet of the arrow t seconds after it was shot into the air is given by the function h(x)=-16t^2+96t. find the maximum height of the arrow.

  4. PHYSICS grade 11

    a 27 g arrow is shot horizontally. the bowstring exerts an average force of 75 N on the arrow over a distance of 78 cm. detrmine the speed of the arrow as it leaves the bow.

  1. Physics

    An arrow is shot at an angle such that it's horizontal velocity is 40 m/s and it's vertical velocity is 20 m/s. Find the horizontal distance the arrow will travel before hitting the ground

  2. Physics urgent

    An archer shoots an arrow with a velocity of 45.0m/s at an angle of 50.0degrees with the horizontal.An assistant standing on the level ground 150m downrange from the launch point throws an apple straight up with the minimum intial

  3. physics

    You are watching an archery tournament when you start wondering how fast an arrow is shot from the bow. Remembering your physics, you ask one of the archers to shoot an arrow parallel to the ground. Unfortunately the archer stands

  4. 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

  1. Physics

    An arrow is shot at a 30 degree angle with the horizontal. It has a velocity of 49m/s. The acceleration of gravity is 9.8 m/s2. How high will the arrow go?

  2. physic

    1)a pitched ball is hit by a batter at a 45 degree angle and just clears the outfield fence,98m away. assume that the fence is at the same height as the pitch and find the velocity of the ball when it left the bat. 2)an arrow is

  3. Algebra 1

    Question: The height in feet above the ground of an arrow t seconds after it is shot can be modeled by y = -16t(squared) + 63t + 4. Can the arrow pass over a tree that is 68 feet tall? Explain. Completely lost, could anyone help

  4. algebra 2

    The height of an arrow shot in the air is given by the function h(t)=-16t^2+144t+24, where h(t) represents the height in feet, and t represents the time in seconds. what is the maximum height of the arrow? how long does it take to

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