Physics

posted by .

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?

  • Physics -

    Since we don't care about the horizontal motion, just ignore it. The initial vertical velocity

    v0 = 49 sin30 = 49 * 1/2 = 24.5

    Now, at any time later

    v = v0 - at
    s = 0 + v0*t - 1/2 a*t^2
    = 24.5t - 4.9t^2
    = 4.9t(5-t)

    So, the arrow is at height=0 at time t=0 and t=5. Therefore, it is at max height when t=2.5

    s(2.5) = 24.5*2.5 - 4.9*(2.5)^2 = 30.625 m

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    Three arrows are shot at different angles. A red arrow is shot at 30degrees, a blue arrow is shot at 45degrees, and a yellow arrow is shot at 60degrees. A) Which arrow goes the farthest?
  2. 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?
  3. 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?
  4. Physics

    An arrow is shot at a 30.0° angle with the horizontal. It has a velocity of 49 m/s. (a) How high will the arrow go?
  5. 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 …
  6. 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 …
  7. Physics

    An arrow is shot at an angle 36 of with the horizontal. It has a velocity of 47 m/s. How high will the arrow go?
  8. physics

    An arrow is shot at an angle 35 ◦ with the horizontal. It has a velocity of 47 m/s. How high will the arrow go?
  9. physics

    An arrow is shot at an angle 31 ◦ with the horizontal. It has a velocity of 47 m/s. How high will the arrow go?
  10. physics

    An arrow is shot at an angle 39◦ with the horizontal. It has a velocity of 54 m/s. How high will the arrow go?

More Similar Questions