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An arrow is shot at an angle of θ=45 degrees above thehorizontal. The arrow hits a tree a horizontal distance D = 220maway, at the same height above the ground as it was shot. Use g =9.8 m/s2 for the magnitude of the acceleration due togravity.

a. find ta, the time that the arrow spends in theair.

b. Suppose someone drops an apple from a vertical distance of6.0 meters, directly above the point where the arrow hits the tree.How long after the arrow was shot should the apple be dropped, inorder for the arrow to pierce the apple as the arrow hits thetree?

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Patrina Schowalter
Patrina SchowalterLv2
11 May 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

An arrow is shot at atn angle of ?=45 degrees above the horizontal. The arrow hits a tree a horizontal distance d=220 meters away, at the same height above the ground as it was shot. Use g=9.8 m/s2 for magnitude of the accleration due to gravity. Find ta the time that the arrow spends in the air. Suppose someone drops an apple from a vertical distance of 6 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?

An object rolls off a table top with a horizontal velocity v0x = 3.4 m/s. The table is at a height y0 = 0.45 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up.

  1. How long, in seconds, is the object falling before it hits the floor?
  2.  (b) How far, in meters, does the object land from the edge of the tabletop?
  3. What is the vertical component of velocity, in meters per second, when the object hits the ground? Recall that the positive y- direction is upwards.
  4. (d) What is the magnitude of the velocity (it's speed) when it hits the floor?
  5. Find the angle of impact, in degrees below the horizontal.
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1. An object of mass 19 kg is placed on incline with friction.The incline is originally horizontal and then raised slowly and at21 degrees, the mass begins to slide down the incline. It is foundthat the coefficient of kinetic friction is 0.79 times thecoefficient of static friction. If the same object (same mass) isplaced on the same incline with an inclination angle of 42.2degrees (the mass will slide down the incline at this angle), whatis the magnitude of the acceleration on the mass in m/s2?
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